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BRENDLE JORG  Brendle Jorg

ORCIDConnect your ORCID iD *help
… Alternative Names

BRENDLE Joerg  BRENDLE Joerg

JORG Brendle

BRENDLE Jorg  ブレンドル ヨルグ

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Researcher Number 70301851
Other IDs
External Links
Affiliation (Current) 2025: 神戸大学, システム情報学研究科, 教授
Affiliation (based on the past Project Information) *help 2025: 神戸大学, システム情報学研究科, 教授
2016 – 2023: 神戸大学, システム情報学研究科, 教授
2013 – 2015: 神戸大学, その他の研究科, 教授
2014: 神戸大学, システム情報学研究科, 教授
2012: 神戸大学, その他の研究科, 准教授 … More
2011 – 2012: 神戸大学, 大学院・システム情報学研究科, 准教授
2010 – 2011: 神戸大学, システム情報学研究科, 准教授
2007 – 2009: Kobe University, 工学研究科, 准教授
2008: Kobe University, 大学院・工学研究科, 准教授
2006: Kobe U, Graduate School of Science and Technology, Associate Professor, 大学院自然科学研究科, 助教授
2006: 神戸大学, 自然科学研究科, 助教授
2003 – 2005: 神戸大学, 大学院・自然科学研究科, 助教授
1999 – 2001: Kobe University, Graduate School of Science and Technology, Associate Professor, 大学院・自然科学研究科, 助教授
1998 – 2001: KOBE UNIVERSITY, GRADUATE SCHOOL OF SCIENCE AND TECHNOLOGY, ASSOCIATE PROFESSOR, 自然科学研究科, 助教授
1998: 神戸大学, 大学院自然科学研究科, 助教授 Less
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Basic Section 12030:Basic mathematics-related / General mathematics (including Probability theory/Statistical mathematics) / Basic Section 12030:Basic mathematics-related / Foundations of mathematics/Applied mathematics
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
集合論 / 強制法 / トポロジー / 数学基礎論 / 強制法の理論 / 連続体の基数不変量 / 測度論 / 無限組合せ論 / 記述集合論 / Topology … More / Cardinal Invariants of the Continuum / Descriptive Set Theory / Infinitary Combinatorics / Forcing Theory / Set Theory / Foundations of Mathematics / 無限組み合わせ論 / 実数上の集合論 / FORCING THEORY / 基数不変量 / 国際情報交換 / 数理論理学 / 組合せ論的集合論 / Forcing / Ultrafilters / Boolean algebras / Set theory / 計算可能性の理論 / 計算可能性理論 / メキシコ / 国際研究者交流 / ブール代数 / プール代数 / SYMMETRIC GROUP OVER ω / CARDINAL INVARIANTS / SETS OF REALS / INFINITARY COMBINATORICS / 自然集合上の置換群 / CARDINAL INVARIANTS INFINITARY COMBINATORICS / LARGE CARDINALS / INNER MODELS / Maximal Cofinitary groups / 巨大基数 / 内的モデルの理論 … More
Except Principal Investigator
Cohen model / weak Freese-Nation property / club principle / cardinal invariants / real-valued measurability / random model / ideal property / SEP / Chang's conjecture / supercompact cardinal / Cohen models / precipitous / 強制法 / weak Freeese-Nation property / 実数値可測基数 / 可測基数 / 測度代数 / random実数 / Solovay model / OCA / Blumberg's theorem / Heckler real / maximal almost disjoint family / clubsuit priciple / P(ω) / complete Boolean algebras / 基数不変量 / ブール代数 / Cohen モデル / Cichon diagram / homogeneity principle / forcing axioms / Open Coloring Axiom / Ρ(ω) / Chang'sconjecture / 完備ブール代数 / large cardinals / Cohen real / proper forcing axiom / ideal / inner modee / Hyting Algebra / 分配律 / Proper foking axiom / 中間論理 / precipitousness / 飽和的 / コーエン実数 / Large Cardinals / コーエン実物 / proper forcing qxiom / Precipitous / イデアル / 公理的集合論 / ノンパラメトリック推測法 / 特異基数 / 無矛盾性 / 離散極小曲面 / Sparse SDP / logarithmic cohomology / 超幾何関数 / Fisher-Bingham分布 / 数学ソフトエウア / ホロノミック勾配降下法 / 極小曲面 / 中心極限定理 / 重複対数の法則 / 組み合わせ論的集合論 / 特殊関数 / 数学ソフトウエア / 推定 / グレブナ基底 Less
  • Research Projects

    (16 results)
  • Research Products

    (186 results)
  • Co-Researchers

    (27 People)
  •  Set-theoretic aspects of phenomena from real analysisPrincipal Investigator

    • Principal Investigator
      Brendle Jorg
    • Project Period (FY)
      2025 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12030:Basic mathematics-related
    • Research Institution
      Kobe University
  •  Partitions and orderings: a new look into the structure of ultrafiltersPrincipal Investigator

    • Principal Investigator
      Brendle Jorg
    • Project Period (FY)
      2023 – 2025
    • Research Category
      Grant-in-Aid for JSPS Fellows
    • Review Section
      Basic Section 12030:Basic mathematics-related
    • Research Institution
      Kobe University
  •  New aspects of cardinal invariantsPrincipal Investigator

    • Principal Investigator
      Brendle Joerg
    • Project Period (FY)
      2018 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12030:Basic mathematics-related
    • Research Institution
      Kobe University
  •  Forcing Theory and the Size of the ContinuumPrincipal Investigator

    • Principal Investigator
      Brendle Jorg
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      Kobe University
  •  Sets of reals with maximality propertiesPrincipal Investigator

    • Principal Investigator
      BRENDLE Jorg
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kobe University
  •  Applications of Infinite combinatorics and forcing theory

    • Principal Investigator
      YORIOKA Teruyuki
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Shizuoka University
  •  Quotient structures in set theory of the realsPrincipal Investigator

    • Principal Investigator
      JORG Brendle
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kobe University
  •  Computational Approaches for Mathematical Sciences

    • Principal Investigator
      TAKAYAMA Nobuki
    • Project Period (FY)
      2007 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kobe University
  •  Set Theory of the Reals and its ApplicationsPrincipal Investigator

    • Principal Investigator
      BRENDLE Jorg
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kobe University
  •  Combinatorics related to the continuumPrincipal Investigator

    • Principal Investigator
      BRENDLE Jorg
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kobe University
  •  Development of new iteration techniques for forcingPrincipal Investigator

    • Principal Investigator
      BRENDLE Joerg
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kobe University
  •  Application of the Axiomatic Set Theory to the Infinitary Combinatorics

    • Principal Investigator
      FUCHINO Sakae
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Chubu University
      Kitami Institute of Technology
  •  CARDINAL INVARIANTS OF THE CONTINUUM AND THEIR APPLICATIONSPrincipal Investigator

    • Principal Investigator
      BRENDLE Jorg
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KOBE UNIVERSITY
  •  Infinite combinatrics and its applications

    • Principal Investigator
      SAKAE Kitami
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kitami Institute of Technology
  •  INNER MODEL THEORY AND LARGE CARDINALSPrincipal Investigator

    • Principal Investigator
      BRENDLE Jorg
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kobe University
  •  HIGHER INFINITY AXIOMS AND RELATED PROPOSITIONS OF VARIOUS FIELD OF MATHEMATICS

    • Principal Investigator
      KAKUDA Yuzuru
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KOBE UNIVERSITY

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 Other

All Journal Article Presentation

  • [Journal Article] Modern Forcing Techniques related to Finite Support Iteration: Ultrapowers, templates, and submodels2024

    • Author(s)
      Brendle Joerg
    • Journal Title

      Landscapes in Logic, College Publications, London, in press

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] Halfway new cardinal characteristics2023

    • Author(s)
      Brendle Joerg, Halbeisen Lorenz, Klausner Lukas, Lischka Marc, Shelah Saharon
    • Journal Title

      Annals of Pure and Applied Logic

      Volume: ー

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] The amalgamated limit and its topological interpretation2023

    • Author(s)
      Brendle Joerg
    • Journal Title

      数理解析研究所講究録

      Volume: 2213 Pages: 1-13

    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] HIGHER DIMENSIONAL CARDINAL CHARACTERISTICS FOR SETS OF FUNCTIONS II2023

    • Author(s)
      BRENDLE JOERG、SWITZER COREY BACAL
    • Journal Title

      The Journal of Symbolic Logic

      Volume: 88 Issue: 4 Pages: 1421-1442

    • DOI

      10.1017/jsl.2022.18

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] Base matrices of various heights2023

    • Author(s)
      Brendle Joerg
    • Journal Title

      Canadian Mathematical Bulletin

      Volume: 66 Issue: 4 Pages: 1237-1243

    • DOI

      10.4153/s0008439523000310

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] Orderings of ultrafilters on Boolean algebras2023

    • Author(s)
      Brendle Joerg、Parente Francesco
    • Journal Title

      Topology and its Applications

      Volume: 323 Pages: 108279-108279

    • DOI

      10.1016/j.topol.2022.108279

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] Halfway new cardinal characteristics2023

    • Author(s)
      Brendle Joerg、Halbeisen Lorenz J.、Klausner Lukas Daniel、Lischka Marc、Shelah Saharon
    • Journal Title

      Annals of Pure and Applied Logic

      Volume: 174 Issue: 9 Pages: 103303-103303

    • DOI

      10.1016/j.apal.2023.103303

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] The higher Cichon diagram in the degenerate case2022

    • Author(s)
      Brendle Joerg
    • Journal Title

      Tsukuba Journal of Mathematics

      Volume: 46 Issue: 2 Pages: 255-269

    • DOI

      10.21099/tkbjm/20224602255

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] Orderings of ultrafilters on Boolean algebras2022

    • Author(s)
      Brendle Joerg, Parente Francesco
    • Journal Title

      Topology and its Applications

      Volume: 印刷中

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] COMBINATORICS OF ULTRAFILTERS ON COHEN AND RANDOM ALGEBRAS2021

    • Author(s)
      BRENDLE JOERG、PARENTE FRANCESCO
    • Journal Title

      The Journal of Symbolic Logic

      Volume: 87 Issue: 1 Pages: 109-126

    • DOI

      10.1017/jsl.2021.18

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] Filter-linkedness and its effect on preservation of cardinal characteristics2021

    • Author(s)
      Brendle Joerg、Cardona Miguel A.、Mejia Diego A.
    • Journal Title

      Annals of Pure and Applied Logic

      Volume: 172 Issue: 1 Pages: 102856-102856

    • DOI

      10.1016/j.apal.2020.102856

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] Borel's conjecture for the Marczewski ideal2021

    • Author(s)
      Brendle Joerg, Wohofsky Wolfgang
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 印刷中

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] Filter-linkedness and its effect on preservation of cardinal characteristics2020

    • Author(s)
      Brendle Joerg, Cardona Miguel, Mejia Diego
    • Journal Title

      Annals of Pure and Applied Logic

      Volume: 印刷中

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] The rearrangement number2020

    • Author(s)
      Blass Andreas、Brendle Joerg、Brian Will、Hamkins Joel David、Hardy Michael、Larson Paul B.
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 373 Issue: 1 Pages: 41-69

    • DOI

      10.1090/tran/7881

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] Definable maximal independent families2019

    • Author(s)
      Brendle Joerg、Fischer Vera、Khomskii Yurii
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 147 Issue: 8 Pages: 3547-3557

    • DOI

      10.1090/proc/14497

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] Construction with opposition: cardinal invariants and games2019

    • Author(s)
      Brendle Joerg、Hrusak Michael、Torres-Perez Victor
    • Journal Title

      Archive for Mathematical Logic

      Volume: 58 Issue: 7-8 Pages: 943-963

    • DOI

      10.1007/s00153-019-00671-0

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] The subseries number2019

    • Author(s)
      Brendle Joerg、Brian Will、Hamkins Joel David
    • Journal Title

      Fundamenta Mathematicae

      Volume: 247 Issue: 1 Pages: 49-85

    • DOI

      10.4064/fm667-11-2018

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] Borel's conjecture for the Marczewski ideal2019

    • Author(s)
      J. Brendle, W. Wohofsky
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 印刷中

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] Evasion and prediction V: Unsymmetric game ideals, constant prediction, and strong porosity ideals2019

    • Author(s)
      Brendle Joerg、Garcia Avila Luz Maria
    • Journal Title

      European Journal of Mathematics

      Volume: 5 Issue: 2 Pages: 269-286

    • DOI

      10.1007/s40879-018-0271-8

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] The rearrangement number2019

    • Author(s)
      A. Blass, J. Brendle, W. Brian, J.D. Hamkins, M. Hardy, P. Larson
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 印刷中

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] Borel's conjecture for the Marczewski ideal2018

    • Author(s)
      Joerg Brendle, Wolfgang Wohofsky
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 未定

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Journal Article] Towers in filters, cardinal invariants, and Luzin-type families2018

    • Author(s)
      Joerg Brendle, Barnabas Farkas, Jonathan Verner
    • Journal Title

      The Journal of Symbolic Logic

      Volume: 未定

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Journal Article] Cichon's diagram for uncountable cardinals2018

    • Author(s)
      Joerg Brendle, Andrew Brooke-Taylor, Sy Friedman, Diana Montoya
    • Journal Title

      Israel Journal of Mathematics

      Volume: 印刷中 Issue: 2 Pages: 959-1010

    • DOI

      10.1007/s11856-018-1688-y

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04977, KAKENHI-PROJECT-18K03398
  • [Journal Article] Maximal trees2018

    • Author(s)
      Joerg Brendle
    • Journal Title

      Archive for Mathematical Logic

      Volume: 57 Issue: 3-4 Pages: 421-428

    • DOI

      10.1007/s00153-017-0575-2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04977, KAKENHI-PROJECT-18K03398
  • [Journal Article] TOWERS IN FILTERS, CARDINAL INVARIANTS, AND LUZIN TYPE FAMILIES2018

    • Author(s)
      BRENDLE JOERG、FARKAS BARNABAS、VERNER JONATHAN
    • Journal Title

      The Journal of Symbolic Logic

      Volume: 83 Issue: 3 Pages: 1013-1062

    • DOI

      10.1017/jsl.2017.52

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Journal Article] Forcing-theoretic aspects of Hindman's Theorem2017

    • Author(s)
      Joerg Brendle, Luz Garcia
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 未定

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Journal Article] Cichon's diagram for uncountable cardinals2017

    • Author(s)
      Joerg Brendle, Andrew Brooke-Taylor, Sy Friedman, Diana Montoya
    • Journal Title

      Israel Journal of Mathematics

      Volume: 未定

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Journal Article] Forcing-theoretic aspects of Hindman's Theorem2017

    • Author(s)
      Joerg Brendle, Luz Maria Garcia Avila
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 69 Issue: 3 Pages: 1247-1280

    • DOI

      10.2969/jmsj/06931247

    • NAID

      130005906737

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Journal Article] Q2017

    • Author(s)
      Joerg Brendle
    • Journal Title

      Proceedings of the IMS Program "Sets and Computations", Singapore

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Journal Article] Q2017

    • Author(s)
      Joerg Brendle
    • Journal Title

      Sets and Computations. World Scientific

      Volume: ー Pages: 1-10

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Journal Article] Generic existence of ultrafilters on the natural numbers2017

    • Author(s)
      Joerg Brendle, Jana Flaskova
    • Journal Title

      Fundamenta Mathematicae

      Volume: 236 Issue: 3 Pages: 201-245

    • DOI

      10.4064/fm730-5-2016

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Journal Article] Cofinalities of Marczewski-like ideals2017

    • Author(s)
      Joerg Brendle, Yurii Khomskii, Wolfgang Wohofsky
    • Journal Title

      Colloquium Mathematicum

      Volume: 150 Issue: 2 Pages: 269-279

    • DOI

      10.4064/cm7113-5-2017

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Journal Article] Some problems in forcing theory: large continuum and generalized cardinal invariants2017

    • Author(s)
      Joerg Brendle
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2042 Pages: 1-16

    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Journal Article] Q2016

    • Author(s)
      Joerg Brendle
    • Journal Title

      Proceedings of the IMS Program "Sets and Computations" (Singapore, 2015)

      Volume: 印刷中

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Journal Article] Generic existence of ultrafilters on the natural numbers2016

    • Author(s)
      Joerg Brendle, Jana Flaskova
    • Journal Title

      Fundamenta Mathematicae

      Volume: 印刷中

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Journal Article] An analogy between cardinal characteristics and highness properties of oracles2015

    • Author(s)
      Joerg Brendle, Andrew Brooke-Taylor, Keng Meng Ng, Andre Nies
    • Journal Title

      Proceedings of the 13th Asian Logic Conference (Guangzhou 2013), World Scientific, Singapore

      Volume: なし Pages: 1-28

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Journal Article] An analogy between cardinal invariants and highness properties of oracles2015

    • Author(s)
      Joerg Brendle, Andrew Brooke-Taylor, Keng Meng Ng, Andre Nies
    • Journal Title

      Proceedings of the 13th Asian Logic Conference (Guangzhou 2013), World Scientific, Singapore

      Volume: なし Pages: 1-28

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Journal Article] A variant proof of Con (b<a)2014

    • Author(s)
      Joerg Brendle, Andrew Brooke-Taylor
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 印刷中

    • Data Source
      KAKENHI-PROJECT-24540126
  • [Journal Article] Rothberger gaps in fragmented ideals2014

    • Author(s)
      Joerg Brendle, Diego Mejia
    • Journal Title

      Fundamenta Mathematicae

      Volume: 227 Issue: 1 Pages: 35-68

    • DOI

      10.4064/fm227-1-4

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Journal Article] A variant proof of Con(b<a)2014

    • Author(s)
      Joerg Brendle, Andrew Brooke-Taylor
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1895 Pages: 16-25

    • Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Journal Article] Bounding, splitting, and almost disjointness2014

    • Author(s)
      Joerg Brendle, Dilip Raghavan
    • Journal Title

      Annals of Pure and Applied Logic

      Volume: 165 Issue: 2 Pages: 631-651

    • DOI

      10.1016/j.apal.2013.09.002

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Journal Article] Mad families constructed from perfect a.d. families2014

    • Author(s)
      Joerg Brendle, Yurii Khomskii
    • Journal Title

      The Journal of Symbolic Logic

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Journal Article] Mad families constructed from perfect a.d. families2013

    • Author(s)
      Joerg Brendle, Yurii Khomskii
    • Journal Title

      The Journal of Symbolic Logic

      Volume: 78 Pages: 1164-1180

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Journal Article] Some problems concerning mad families2013

    • Author(s)
      Joerg Brendle
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1851 Pages: 1-13

    • Data Source
      KAKENHI-PROJECT-24540126
  • [Journal Article] Polarized partitions on the second level of the projective hierarchy2012

    • Author(s)
      Joerg Brendle, Yurii Khomskii
    • Journal Title

      Annals of Pure and Applied Logic

      Volume: 163 Pages: 1345-1357

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Journal Article] A base-matrix lemma for sets of rationals modulo nowhere dense sets2012

    • Author(s)
      Joerg Brendle, Diana Montoya
    • Journal Title

      Archive for Mathematical Logic

      Volume: 51 Issue: 3-4 Pages: 305-317

    • DOI

      10.1007/s00153-012-0274-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Journal Article] A base-matrix lemma for sets of rationals modulo nowhere dense sets2012

    • Author(s)
      Jorg Brendle, Diana Montoya
    • Journal Title

      Archive for Mathematical Logic

      Volume: 51 Pages: 305-317

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Journal Article] Mad families, splitting families, and large continuum2011

    • Author(s)
      Jorg Brendle, Vera Fischer
    • Journal Title

      The Journal of Symbolic Logic

      Volume: 76 Pages: 198-208

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Journal Article] Eventually different functions and inaccessible cardinals2011

    • Author(s)
      Jorg Brendle, Benedikt Lowe
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 63 Pages: 137-151

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Journal Article] Ultrafilter limits of asymptotic density are not universally measurable, in : Combinatorial set theory and forcing theory2010

    • Author(s)
      Jorg Brendle, Paul Larson
    • Journal Title

      数理解析研究所講究録

      Volume: 1686 Pages: 16-18

    • Data Source
      KAKENHI-PROJECT-21540128
  • [Journal Article] Countable Frechet Boolean groups : an independence result2009

    • Author(s)
      Jorg Brendle, Michael Hru. ak
    • Journal Title

      The Journal of Symbolic Logic

      Volume: 74 Pages: 1061-1068

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Journal Article] Stevo Todorcevic, Rectangular axioms, perfect set properties, and decomposition, Bulletin, Classe des Sciences Mathematiques et Naturelles, Sciences mathematiques2008

    • Author(s)
      Jorg Brendle, Paul Larson
    • Journal Title

      Academie Serbe des Sciences et Arts, Beograd 33

      Pages: 91-130

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Journal Article] Rectangular axioms, perfect set properties, and decomposition2008

    • Author(s)
      Jorg Brendle
    • Journal Title

      Bulletin, Classe des Sciences Mathematiques et Naturelles, Sciences mathematiques, Academie Serbe des Sciences et Arts, Beograd 33

      Pages: 91-130

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Journal Article] Mad families and ultrafilters, Acta Universitatis Carolinae2007

    • Author(s)
      Jorg Brendle
    • Journal Title

      Mathematica et Physica 49

      Pages: 19-35

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Journal Article] Distinguishing groupwise density numbers2007

    • Author(s)
      Jorg Brendle
    • Journal Title

      Monatshefte fur Mathematik

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Coloring ordinals by reals2007

    • Author(s)
      Jorg Brendle
    • Journal Title

      Fundamenta Mathematicae 196

      Pages: 151-195

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Journal Article] Independence for distributivity numbers, in : Algebra, Logic, Set Theory. Festschrift fur Ulrich Felgner zum 652007

    • Author(s)
      Jorg Brendle
    • Journal Title

      Geburtstag (B. Lowe, ed.), Studies in Logic (College Publications) vol. 4

      Pages: 63-84

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Journal Article] Independence for distributivity numbers2007

    • Author(s)
      Jorg Brendle
    • Journal Title

      Algebra, Logic, Set Theory. Festschrift fur Ulrich Feigner zum 65. Geburtstag (B. Lowe, ed.), Studies in Logic (College Publications) 4

      Pages: 63-84

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Coloring ordinals by reals2007

    • Author(s)
      Jorg Brendle, Sakae Fuchino
    • Journal Title

      Fundamenta Mathematicae 196

      Pages: 151-195

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Journal Article] HAD FAMILIES WITH NRONG COMBINATORIAC PROPERTIES2007

    • Author(s)
      JORG BRENDLE
    • Journal Title

      Funda menta Hathematicae 193

      Pages: 7-21

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Mad families and ultrafilters2007

    • Author(s)
      Jorg Brendle
    • Journal Title

      Acta Universitatis Carolinae. Mathematica et Physica 49

      Pages: 19-35

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Journal Article] MAD families with strong combinatorial properties2007

    • Author(s)
      Jorg Brendle
    • Journal Title

      Fundamenta Mathematicae 193

      Pages: 7-21

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] INDEPENDENCE FOR DISTRIBUTIVITY NUMBERS2007

    • Author(s)
      JORG BRENDLE
    • Journal Title

      Algebra, Logic, Set Theory Studies in Logic (B. Lowe, ed.)(College Publications) 4

      Pages: 63-84

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Distinguishing groupwise density numbers2007

    • Author(s)
      Jorg Brendle
    • Journal Title

      Monatshefte fur Mathematik 152

      Pages: 207-215

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Journal Article] Distinguishing groupwise density numbers2007

    • Author(s)
      JORG BRENDLE
    • Journal Title

      Monatshefte fur Mathematik (未定)

    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Independence for Distributivity Numbers2007

    • Author(s)
      JORG BRENDLE
    • Journal Title

      Algebra, Logic, Set Theory, Studies in Logic, College Publications London (Benedikt Lowe, ed.) 4

      Pages: 63-84

    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] MAD families with strong combinatorial properties2007

    • Author(s)
      Jorg Brendle and Greg Piper
    • Journal Title

      Fundamenta Mathematicae 193

      Pages: 7-21

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Journal Article] MAD families with strong combinatorial properties2007

    • Author(s)
      JORG BRENDLE
    • Journal Title

      Fundamenta Mathematicae 193

      Pages: 7-21

    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Converse dual cardinals2006

    • Author(s)
      JORG BRENDLE
    • Journal Title

      The Journal of Symbolic Logic 71・1

      Pages: 22-34

    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Distributivity numbers of P(omega)/fin and its friends2006

    • Author(s)
      JORG BRENDLE
    • Journal Title

      数理解析研究所講究録 (未定)

    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Converse dual cardinals2006

    • Author(s)
      Jorg Brendle
    • Journal Title

      The Journal of Symbolic Logic 71-1

      Pages: 22-34

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Van Douwen's diagram for dense sets of rationales2006

    • Author(s)
      Jorg Brendle
    • Journal Title

      Annals of Pure and Applied Logic 143

      Pages: 54-69

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] CONVERSE DUAL CARDINALS2006

    • Author(s)
      JORG BRENDLE
    • Journal Title

      THE Journal of Symbolic Cogic 71-1

      Pages: 22-34

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] VAN DouWEN'S DSAGRAM FOR DENSE SETS of RATIONAls2006

    • Author(s)
      JORG BRENDLE
    • Journal Title

      Annals of Pure and Applied Logic 143

      Pages: 54-69

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Cardinal invariants of the continuum and combinatorics on uncountable cardinals2006

    • Author(s)
      Jorg Brendle
    • Journal Title

      Annals of Pure and Applied Logic 144

      Pages: 43-72

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Van Douwen's diagram for dense sets of rationals2006

    • Author(s)
      JORG BRENDLE
    • Journal Title

      Annals of Pure and Applied Logic 143

      Pages: 54-69

    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] CARDINAL SNVARIANTS OF THE CONTINUUM AND COMBINATORICS ON UNCouNTABLE CARDINALS2006

    • Author(s)
      JORG BRENDLE
    • Journal Title

      Annals of Pure and Applied Logic 144

      Pages: 43-72

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] DISTRIBUTIVITY NUMBERS OF P(w)/fim AND ITS FRIENDS2006

    • Author(s)
      JORG BRENDLE
    • Journal Title

      京都大学数理解析研究所講究録 1471

      Pages: 9-18

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Distributivity numbers of P(ω)/fin and its friends2006

    • Author(s)
      Jiirg Brendle
    • Journal Title

      Kyoto Daigaku Surikaiseki Kenkyusho Kokyuroku 1471

      Pages: 9-18

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Cardinal invariants of the continuum and combinatorics on uncountable cardinals2006

    • Author(s)
      JORG BRENDLE
    • Journal Title

      Annals of Pure and Applied Logic 144

      Pages: 43-72

    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] TEMPLATES AND ITERATIONS2005

    • Author(s)
      JORG BRENDLE
    • Journal Title

      京都大学数理解析研究所講究録 1423

      Pages: 1-12

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Silver measurability and its relation to other regularity properties2005

    • Author(s)
      Joerg Brendle
    • Journal Title

      Mathematical Proceedings of the Cambridge Philosophical Society 138

      Pages: 135-149

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Templates and iterations. Luminy 2002 lecture notes2005

    • Author(s)
      Jorg Brendle
    • Journal Title

      Kyoto Daigaku Surikaiseki Kenkyusho Kokyuroku 1423

      Pages: 1-12

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Silver measurability and its relation to other regularity properties2005

    • Author(s)
      JORG BRENDLE
    • Journal Title

      Mathematical Proceedings of the Combridge Philosophical Society 138・1

      Pages: 135-149

    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Silver measurability and its relation to other regularity properties2005

    • Author(s)
      JOERG BRENDLE
    • Journal Title

      Mathematical Proceedings of the Cambridge Philosophical Society 138

      Pages: 135-149

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Forcing indestructibility of mad families2005

    • Author(s)
      JORG BRENDLE
    • Journal Title

      Anvals of Pure and Applied Logic 132・2-3

      Pages: 271-312

    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Recent developments in iterated forcing theory2005

    • Author(s)
      JOERG BRENDLE
    • Journal Title

      Classical and New Paradigms of Computation and their Complexity Hierarchies, Trends in Logic 23

      Pages: 47-60

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Templates and iterations. Luminy 2002 lecture notes2005

    • Author(s)
      JORG BRENDLE
    • Journal Title

      数理解析研究所講究録 1423

      Pages: 1-12

    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Templates and iterations2005

    • Author(s)
      JOERG BRENDLE
    • Journal Title

      京都大学数理解析研究所講究録 (未定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Recent developments in itevated forcing theory2005

    • Author(s)
      JORG BRENDLE
    • Journal Title

      Classical and New Paradiums of Computation and their Complexity Hierarchies, Trends in Logic 23

      Pages: 47-60

    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Forcing indestructibility of mad families2005

    • Author(s)
      Joerg Brendle
    • Journal Title

      Annals of Pure and Applied Logic 132

      Pages: 271-312

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Templates and iterations2005

    • Author(s)
      Joerg Brendle
    • Journal Title

      Kyoto Daigaku Surikaiseki Kenkyusho Kokyuroku (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Forcing indestructibility of mad families2005

    • Author(s)
      JOERG BRENDLE
    • Journal Title

      Annals of Pure and Applied Logic 132

      Pages: 271-312

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Recent developments in iterated forcing theory2005

    • Author(s)
      Joerg Brendle
    • Journal Title

      Classical and New Paradigms of Computation and their Complexity Hierarchies, Trends in Logic 23

      Pages: 47-60

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] There is an independent splitting family2004

    • Author(s)
      Joerg Brendle
    • Journal Title

      Kyoto Daigaku Surikaiseki Kenkyusho Kokyuroku 1360

      Pages: 81-87

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] There is an independent splitting family2004

    • Author(s)
      JORG BRENDLE
    • Journal Title

      数理解析研究所講究録 1360

      Pages: 81-87

    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] There is an independent splitting family2004

    • Author(s)
      JOERG BRENDLE
    • Journal Title

      京都大学数理解析研究所講究録 1360

      Pages: 81-87

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] The almost-disjointness number may have countable cofinality2003

    • Author(s)
      Joerg Brendle
    • Journal Title

      Transactions of the American Mathematical Society 355

      Pages: 2633-2649

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Evasion and prediction IV2003

    • Author(s)
      Joerg Brendle
    • Journal Title

      Archive for Mathematical Logic 42

      Pages: 349-360

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] The cofinality of the infinite symmetric group and groupwise density2003

    • Author(s)
      JOERG BRENDLE
    • Journal Title

      The Journal of Symbolic Logic 68

      Pages: 1354-1361

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Evasion and prediction IV2003

    • Author(s)
      JOERG BRENDLE
    • Journal Title

      Archive for Mathematical Logic 42

      Pages: 349-360

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] The cofinality of the infinite symmetric group and groupwise density2003

    • Author(s)
      Joerg Brendle
    • Journal Title

      The Journal of Symbolic Logic 68

      Pages: 1354-1361

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] The almost-disjointness number may have countable cofinality2003

    • Author(s)
      JOERG BRENDLE
    • Journal Title

      Transactions of the American Mathematical Society 355

      Pages: 2633-2649

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] DISTINGUISHING GRouPWISE DENSITY NUHBERS

    • Author(s)
      JORG BRENDLE
    • Journal Title

      Mouats heffe fur Hathemafik (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Van Douwen's diagram for dense sets of rationals

    • Author(s)
      Joerg Brendle
    • Journal Title

      Annals of Pure and Applied Logic (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Van Douwen's diagram for dense sets of rationals

    • Author(s)
      JORG BRENDLE
    • Journal Title

      Annals of Pure and Applied Logic (未定)(掲載確定)

    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Cardinal invariants of the continuum and combinatorics on uncountable cardinals

    • Author(s)
      Joerg Brendle
    • Journal Title

      Annals of Pure and Applied Logic (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Polarized partitions on the second level of the projective hierarchy

    • Author(s)
      Jorg Brendle, Yurii Khomskii
    • Journal Title

      Annals of Pure and Applied Logic

      Volume: (to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Journal Article] Cardinal invariants of the contimum and combinatiorics on uncountable cardinals

    • Author(s)
      JORG BRENDLE
    • Journal Title

      Annals of Pure and Applied Logic 未定

    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Templates and iterations

    • Author(s)
      JORG BRENDLE
    • Journal Title

      数理解析研究所講究録 未定

    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Cardinal invariants of the continuum and combinatorics on uncountable cardinals

    • Author(s)
      JOERG BRENDLE
    • Journal Title

      Annals of Pure and Applied Logic (未定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Countable Frechet Boolean groups : an independence result

    • Author(s)
      Jorg Brendle, Michael Hrusak
    • Journal Title

      The Journal of Symbolic Logic, to appear

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Journal Article] Polarized partitions on the second level of the projective hierarchy

    • Author(s)
      Jorg Brendle, Yurii Khomskii
    • Journal Title

      Annals of Pure and Applied Logic

      Volume: (印刷中)(掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Journal Article] Cardinals invariants of the continuum and combinatorics on uncountable cardinals

    • Author(s)
      JORG BRENDLE
    • Journal Title

      Annals of Pure and Applied Logic (未定)(掲載確定)

    • Data Source
      KAKENHI-PROJECT-17540116
  • [Journal Article] Van Douwen's diagram for dense sets of rationals

    • Author(s)
      JOERG BRENDLE
    • Journal Title

      Annals of Pure and Applied Logic (未定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540120
  • [Journal Article] Countable Brechet Boolean groups : an independence result

    • Author(s)
      Jorg Brendle
    • Journal Title

      The Journal of Symbolic Logic 掲載決定(掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Presentation] Higher dimensional cardinal characteristics2023

    • Author(s)
      Joerg Brendle
    • Organizer
      BIRS-CMO Workshop Set-Theoretic Topology, Oaxaca, Mexico
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Presentation] Forcing and more2023

    • Author(s)
      Joerg Brendle
    • Organizer
      Colloquium in honor of Martin Goldstern on the occasion of his 60th birthday, Wien, Austria
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Presentation] Recent forcing techniques: Boolean ultrapowers (mini course)2021

    • Author(s)
      Brendle Joerg
    • Organizer
      Recent Developments in Set Theory of the Reals, RIMS workshop, 京都
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Presentation] Forcing and cardinal invariants (minicourse)2019

    • Author(s)
      Brendle Joerg
    • Organizer
      12th Young Set Theory Workshop (Advanced Class in Set Theory), ウィーン(オーストリア)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Presentation] Maximal objects and definability: a survey2019

    • Author(s)
      Brendle Joerg
    • Organizer
      Chinese Annual Conference on Mathematical Logic 2019, 重慶(中国)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Presentation] Asymptotic cardinal invariants2019

    • Author(s)
      Brendle Joerg
    • Organizer
      15th International Workshop in Set Theory, マルセイユ(フランス)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Presentation] Higher cardinal invariants in the degenerate case2019

    • Author(s)
      Brendle Joerg
    • Organizer
      7th European Set Theory Conference, ウィーン(オーストリア)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Presentation] Complexity of maximal objects2019

    • Author(s)
      Brendle Joerg
    • Organizer
      Program on Higher Recursion Theory and Set Theory (in celebration of the research work of Professors Theodore A. Slaman and W. Hugh Woodin), シンガポール
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Presentation] Cardinal invariants and forcing theory2019

    • Author(s)
      Brendle Joerg
    • Organizer
      The 3rd Pan-Pacific International Conference on Topology and Applications, 成都(中国)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Presentation] Maximality and Definability2018

    • Author(s)
      Joerg Brendle
    • Organizer
      Colloquium Logicum 2018, Bayreuth, Germany
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Presentation] Definability of maximal independent families2018

    • Author(s)
      Joerg Brendle
    • Organizer
      Ideals and exceptional sets in Polish spaces, Bernoulli Center, Lausanne, Switzerland
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Presentation] Maximal objects in the projective hierarchy2018

    • Author(s)
      Joerg Brendle
    • Organizer
      Reflections on Set Theoretic Reflection, in celebration of Joan Bagaria’s 60th birthday, Sant Bernat, Montseny, Spain
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Presentation] Some problems about cardinal invariants2018

    • Author(s)
      Joerg Brendle
    • Organizer
      Set theory today. A conference in honor of Georg Cantor, Kurt Goedel Research Center, Vienna, Austria
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03398
  • [Presentation] Generalized cardinal invariants2017

    • Author(s)
      Joerg Brendle
    • Organizer
      Set Theory
    • Place of Presentation
      Oberwolfach (Germany)
    • Year and Date
      2017-02-15
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Presentation] Rearrangements2017

    • Author(s)
      Joerg Brendle
    • Organizer
      Workshop on Computability Theory and the Foundations of Mathematics, Singapore
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Presentation] Rearrangements and subseries2017

    • Author(s)
      Joerg Brendle
    • Organizer
      14th International Workshop in Set Theory, France
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Presentation] Constant prediction, strong porosity, and unsymmetric game ideals2017

    • Author(s)
      Joerg Brendle
    • Organizer
      The 2nd Pan-Pacific International Conference on Topology and Applications, South Korea
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Presentation] Q2016

    • Author(s)
      Joerg Brendle
    • Organizer
      Set Theory and its Applications in Topology
    • Place of Presentation
      Oaxaca (Mexico)
    • Year and Date
      2016-09-14
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Presentation] Borel’s conjecture for the Marczewski ideal2016

    • Author(s)
      Joerg Brendle
    • Organizer
      Third International Conference on Mathematics and its Applications
    • Place of Presentation
      Puebla (Mexico)
    • Year and Date
      2016-09-06
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Presentation] Squares of Q-sets2016

    • Author(s)
      Joerg Brendle
    • Organizer
      RIMS 研究集会 Set-Theoretic and geometric topology, and their applications
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2016-10-17
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Presentation] Maximal trees2016

    • Author(s)
      Joerg Brendle
    • Organizer
      RIMS 研究集会 Infinite combinatorics and forcing theory
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2016-11-28
    • Data Source
      KAKENHI-PROJECT-15K04977
  • [Presentation] Analytic quotients and complete embeddings2015

    • Author(s)
      Joerg Brendle
    • Organizer
      14th Asian Logic Conference (ALC 2015)
    • Place of Presentation
      Indian Institute of Technology, Mumbai (India)
    • Year and Date
      2015-01-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Presentation] Forcing-theoretic aspects of Hindman's and Taylor's Theorems2014

    • Author(s)
      Joerg Brendle
    • Organizer
      49th General Topology Symposium
    • Place of Presentation
      京都工芸繊維大学、京都市
    • Year and Date
      2014-06-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Presentation] Complete embeddability between P(omega)/fin and its relatives2014

    • Author(s)
      Joerg Brendle
    • Organizer
      13th International Workshop in Set Theory
    • Place of Presentation
      CIRM, Luminy (France)
    • Year and Date
      2014-09-29
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Presentation] Cardinal invariants and highness properties2014

    • Author(s)
      Joerg Brendle
    • Organizer
      Infinity, computability, and metamathematics
    • Place of Presentation
      Hausdorff Center for Mathematics, Bonn (Germany)
    • Year and Date
      2014-05-25
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Presentation] Highness properties of oracles and cardinal invariants of the continuum2014

    • Author(s)
      Joerg Brendle
    • Organizer
      Analysis, Randomness and Applications (ARA Japan 2014)
    • Place of Presentation
      国立中央青少年交流の家、御殿場市
    • Year and Date
      2014-09-05
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Presentation] Cardinal invariants on larger cardinals2014

    • Author(s)
      Joerg Brendle
    • Organizer
      Workshop in Set Theory
    • Place of Presentation
      Mathematical Research and Conference Center, Bedlewo (Poland)
    • Year and Date
      2014-09-15
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Presentation] Aspects of randomness in set theory and computability theory2014

    • Author(s)
      Joerg Brendle
    • Organizer
      Joint Meeting of the German Mathematical Society and the Polish Mathematical Society
    • Place of Presentation
      Adam Mickiewicz University, Poznan (Poland)
    • Year and Date
      2014-09-18
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Presentation] Aspects of splitting2012

    • Author(s)
      Jorg Brendle
    • Organizer
      Forcing in Set Theory
    • Place of Presentation
      神戸大学(兵庫県)
    • Year and Date
      2012-01-28
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Methods in iterated forcing (minicourse, three lectures)2012

    • Author(s)
      Joerg Brendle
    • Organizer
      Workshop on Iterated Forcing and Large Cardinals
    • Place of Presentation
      トロント、カナダ
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Presentation] Cardinal invariants and large continuum2012

    • Author(s)
      Jorg Brendle
    • Organizer
      Amsterdam workshop in set theory
    • Place of Presentation
      Amsterdam,オランダ
    • Year and Date
      2012-02-11
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Aspects of splitting2012

    • Author(s)
      Jorg Brendle
    • Organizer
      Forcing in Set Theory
    • Place of Presentation
      神戸,日本
    • Year and Date
      2012-01-28
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Cardinal invariants and large continuum2012

    • Author(s)
      Jorg Brendle
    • Organizer
      Amsterdam workshop in set theory
    • Place of Presentation
      University of Amsterdam, Amsterdam, Holland(招待講演)
    • Year and Date
      2012-02-11
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Aleph_1 perfect mad families2011

    • Author(s)
      Jorg Brendle
    • Organizer
      Oberwolfach Workshop on Set Theory
    • Place of Presentation
      オバーボルファッハ(ドイツ)
    • Year and Date
      2011-01-10
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Mad families constructed from perfect almost disjoint families2011

    • Author(s)
      Jorg Brendle
    • Organizer
      Asian Logic Conference
    • Place of Presentation
      Victoria University, Wellington, New Zealand(招待講演)
    • Year and Date
      2011-12-16
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] ω_1-perfect mad families2011

    • Author(s)
      Jorg Brendle
    • Organizer
      Oberwolfach Workshop on Set Theory
    • Place of Presentation
      Oberwolfach,ドイツ
    • Year and Date
      2011-01-10
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Mad families constructed from perfect almost disjoint families2011

    • Author(s)
      Jorg Brendle
    • Organizer
      12th Asian Logic Conference
    • Place of Presentation
      Wellington,ニュージーランド
    • Year and Date
      2011-12-16
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Aspects of iterated forcing2010

    • Author(s)
      Jorg Brendle
    • Organizer
      38th Winter School on Abstract Analysis, Section of Topology
    • Place of Presentation
      Hejnice,チェコ
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Aspects of iterated forcing2010

    • Author(s)
      Jorg Brendle
    • Organizer
      38^<th> Winter School on Abstract Analysis, Section of Topology
    • Place of Presentation
      ヘイニツェ(チェコ)(招待講演・チュートリアル)
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Cardinal invariants of F_бquotients2010

    • Author(s)
      Jorg Brendle
    • Organizer
      International Conference Japan-Mexico on Topology and its Applications
    • Place of Presentation
      Colima,メキシコ
    • Year and Date
      2010-09-28
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Combinatorics of F_бquotients2010

    • Author(s)
      Jorg Brendle
    • Organizer
      11th International Workshop in Set Theory
    • Place of Presentation
      Luminy,フランス
    • Year and Date
      2010-10-08
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] An (ω,ω_1)-Rothberger gap2010

    • Author(s)
      Jorg Brendle
    • Organizer
      Amsterdam workshop in set theory
    • Place of Presentation
      アムステルダム(オランダ)(招待講演)
    • Year and Date
      2010-06-01
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Cardinal invariants of F_σ quotients2010

    • Author(s)
      Jorg Brendle
    • Organizer
      International Conference Japan-Mexico on Topology and its Applications
    • Place of Presentation
      コリマ(メキシコ)
    • Year and Date
      2010-09-28
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] An(ω,ω_1)-Rothberger gap2010

    • Author(s)
      Jorg Brendle
    • Organizer
      Amsterdam workshop in set theory
    • Place of Presentation
      Amsterdam,オランダ
    • Year and Date
      2010-06-01
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Combinatorics of F_σ quotients2010

    • Author(s)
      Jorg Brendle
    • Organizer
      11^<th> International Workshop in Set Theory
    • Place of Presentation
      マルセイユ(フランス)
    • Year and Date
      2010-10-08
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Regularity properties on the second level of the projective hierarchy2009

    • Author(s)
      Jorg Brendle
    • Organizer
      24th Summer Conference on Topology and Its Applications
    • Place of Presentation
      Brno,チェコ
    • Year and Date
      2009-07-17
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Cardinal invariants of analytic quotients2009

    • Author(s)
      Jorg Brendle
    • Organizer
      ESI workshop on large cardinals and descriptive set theory
    • Place of Presentation
      ウィーン(オーストリア)(招待講演)
    • Year and Date
      2009-06-16
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Mad families on uncountable cardinals2009

    • Author(s)
      Jorg Brendle
    • Organizer
      Jornadas Colombo-venezolanas de teoria de conjuntos
    • Place of Presentation
      ボゴタ, コロンビア
    • Year and Date
      2009-02-06
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Presentation] Dense sets of rationals2009

    • Author(s)
      Jorg Brendle
    • Organizer
      Amsterdam workshop in set theory
    • Place of Presentation
      Amsterdam,オランダ
    • Year and Date
      2009-05-26
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Cardinal invariants of analytic quotients2009

    • Author(s)
      Jorg Brendle
    • Organizer
      ESI workshop on large cardinals and descriptive set theory
    • Place of Presentation
      Vienna,オーストリア
    • Year and Date
      2009-06-16
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Dense sets of rationals2009

    • Author(s)
      Jorg Brendle
    • Organizer
      Amsterdam workshop in set theory
    • Place of Presentation
      アムステルダム(オランダ)
    • Year and Date
      2009-05-26
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Regularity properties on the second level of the projective hierarchy2009

    • Author(s)
      Jorg Brendle
    • Organizer
      24. Summer Conference on Topology and its Applications
    • Place of Presentation
      ブルノ(チェコ)
    • Year and Date
      2009-07-17
    • Data Source
      KAKENHI-PROJECT-21540128
  • [Presentation] Mad families on uncountable cardinals2009

    • Author(s)
      Jorg Brendle
    • Organizer
      Jornadascolombo-venezolanas de teoria deconjuntos
    • Place of Presentation
      Bogota, コロンビア
    • Year and Date
      2009-02-06
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Presentation] Recent results on mad families2008

    • Author(s)
      Jorg Brendle
    • Organizer
      Advances in Set-theoretic Topology, Conference in Honour of Tsugunon Nogura on his 60th Birthday
    • Place of Presentation
      エリチエ, イタリア
    • Year and Date
      2008-06-10
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Presentation] MAD families on singular cardinals2008

    • Author(s)
      Jorg Brendle
    • Organizer
      Mengenlehre-Tagung
    • Place of Presentation
      Oberwolfach, ドイツ
    • Year and Date
      2008-01-14
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Presentation] Mad families on singular cardinals2008

    • Author(s)
      Jorg Brendle
    • Organizer
      Set Theory Meeting in Kobe
    • Place of Presentation
      神戸, 日本
    • Year and Date
      2008-03-21
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Presentation] Recent results on madfamilies, Advances in Set-theoretic Topology2008

    • Author(s)
      Jorg Brendle
    • Organizer
      Conference in Honour of Tsugunori Nogura on his 60th Birthday
    • Place of Presentation
      Erice, イタリア
    • Year and Date
      2008-06-10
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Presentation] MAD families on singular cardinals2008

    • Author(s)
      Jorg Brendle
    • Organizer
      Mengenlehre-Tagung
    • Place of Presentation
      Oberwolfach(ドイツ)
    • Year and Date
      2008-01-14
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Presentation] Malyhin's Problem2007

    • Author(s)
      Jorg Brendle
    • Organizer
      International Conference on Topology and its Applications
    • Place of Presentation
      京都, 日本
    • Year and Date
      2007-12-04
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Presentation] Distinguishing groupwise density numbers2007

    • Author(s)
      Jorg Brendle
    • Organizer
      Conference in honour of the 60th birthday of Professor Andreas R. Blass
    • Place of Presentation
      トロント(カナダ)
    • Year and Date
      2007-11-10
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Presentation] What are cardinal invariants of the continuum?2007

    • Author(s)
      Jorg Brendle
    • Organizer
      Euler and modern combinatorics
    • Place of Presentation
      サンクト・ペテルブルグ(ロシア)
    • Year and Date
      2007-06-06
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Presentation] What are cardinal invariants of the continuum2007

    • Author(s)
      Jorg Brendle
    • Organizer
      Euler and modern combinatorics
    • Place of Presentation
      St. Petersburg, ロシア
    • Year and Date
      2007-06-06
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Presentation] Distinguishing groupwise density numbers2007

    • Author(s)
      Jorg Brendle
    • Organizer
      Conference in honour of the 60th birthday of Professor Andreas R. Blass
    • Place of Presentation
      Toronto, カナダ
    • Year and Date
      2007-11-10
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Presentation] Malyhin's Problem2007

    • Author(s)
      Jorg Brendle
    • Organizer
      International Conference on Topology and its Applications
    • Place of Presentation
      京都(日本)
    • Year and Date
      2007-12-04
    • Data Source
      KAKENHI-PROJECT-19540127
  • [Presentation] Rothberger gaps in analytic quotients

    • Author(s)
      Joerg Brendle
    • Organizer
      Set Theory
    • Place of Presentation
      オーバーヴォルファッハ、ドイツ
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Presentation] Forcing theory and the size of the continuum

    • Author(s)
      Joerg Brendle
    • Organizer
      Logic Colloquium 2013
    • Place of Presentation
      エボラ、ポルトガル
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Presentation] Mad families: recent results and open problems

    • Author(s)
      Joerg Brendle
    • Organizer
      The 13th Asian Logic Conference
    • Place of Presentation
      広州、中国
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Presentation] Almost disjoint families built from closed sets

    • Author(s)
      Joerg Brendle
    • Organizer
      RIMS研究集会「強制法による拡大と巨大基数」
    • Place of Presentation
      京都
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Presentation] Maximality and definability

    • Author(s)
      Joerg Brendle
    • Organizer
      Sy David Friedman's 60th-Birthday Conference
    • Place of Presentation
      ウィーン、オーストリア
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540126
  • [Presentation] Recent results on splitting and almost disjointness

    • Author(s)
      Joerg Brendle
    • Organizer
      Trends in Set Theory
    • Place of Presentation
      ワルシャワ、ポーランド
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540126
  • 1.  FUCHINO Sakae (30292098)
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    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  SANNAMI Atsushi (30154157)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  TAKAHASHI Makoto (50154860)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  YOSHINOBU Yasuo (90281063)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  TITANI Satoko (90207283)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  TAKAHASHI Joji (30197149)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  KAMO Shizuo (30128764)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  SUZUKI Akira (50330519)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  ROSSMAN Wayne (50284485)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  篠田 寿一 (30022685)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  塩谷 真弘 (30251028)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  PARENTE FRANCESCO
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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