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Shioya Masahiro  塩谷 真弘

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… Alternative Names

塩谷 真弘  シオヤ マサヒロ

SHIOYA Masahiro  塩谷 真弘

塩屋 真弘  シオヤ マサヒロ

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Researcher Number 30251028
Other IDs
Affiliation (Current) 2025: 筑波大学, 数理物質系, 准教授
Affiliation (based on the past Project Information) *help 2015 – 2023: 筑波大学, 数理物質系, 准教授
2010 – 2013: 筑波大学, 数理物質系, 准教授
2010: 筑波大学, 数理物質科学研究科, 准教授
2008 – 2009: University of Tsukuba, 大学院・数理物質科学研究科, 准教授
2007: 筑波大学, 大学院・数理物資科学研究科, 講師 … More
2005 – 2007: University of Tsukuba, Institute of Mathematics, Full-time Lecture, 数理物質科学研究科, 講師
2004 – 2007: 筑波大学, 大学院・数理物質科学研究科, 講師
2006: University of Tsukuba, Graduate School of Pure and Applied Sciences, Instructor, 大学院数理物質科学研究科, 講師
1999 – 2006: 筑波大学, 数学系, 講師
2004: Tsukuba University, Department of mathematics, Assistant Professor, 数学系, 教授
2001: 筑波大学, 数学系, 専任講師
1996 – 1998: 筑波大学, 数学系, 助手
1994: 筑波大学, 数学系, 助手 Less
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Basic Section 12030:Basic mathematics-related
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Foundations of mathematics/Applied mathematics / 計算機科学 / Algebra
Keywords
Principal Investigator
巨大基数 / 強制法 / 無限組合せ論 / 数理論理学 / 飽和イデアル / 公理的集合論 / 定常集合 / 稠密イデアル / 反映原理 / 飽和性 … More / フィルタ / 集合論 / 飽和フィルタ / 強制拡大 / 崩壊代数 / Stationary set / Saturation / Filter / Forcing / Large cardinal / Infinitary combinatorics / Set theory / Mathematical logic / イデアル / 超フィルタ / 生成超巾 / 定常集会 / 数学基礎論 / 巨大差数 / クラブフィルター / Pay / Precipitovs filter … More
Except Principal Investigator
stationary reflection / P_κλ / ineffability / partition property / forcing / stationary set / モデル理論 / unbounded set / saturated ideal / reflection / 分割の性質 / club filter / 公理的集合論 / diamond principle / precipitous / 正規極大フィルター / 数理論理学 / indescribability / 強制法 / Pκλ / 安定性 / モデル / 無限組み合わせ論 / presaturation / nonstationary ideal / supercompact / Ρ_κλ / cardinal invariant / ineffable / set theory / Model Theory / supercompact cardinal / iterated forcing / club principle / cardinal invariants / real-valued measurability / random model / Cohen model / ideal property / SEP / stability / structure / model / normal ultrafilter / compact cardinal / 安定性理論 / stationary / イデアル / コンパクト基数 / 排除定理 / タイプ / 単純性 / 組み合わせ論 / コンパクト性 / 有限モデル理論 / 無限組み合わせ / 有限数学 / Ramsey / Erdos-Rado / 一様樹形図 / グラフ / モデル完全性 / 意味論 / 平面グラフ / モデル随伴理論 / fiorcing / mild ineffability / クラブフィルター / 飽和イデアル / cocbcle deformation / affine group scheme / braided category / tensor category / Picard-Vessiot theory / quantum group / Hopf algebra / 差分方程式 / 微分方程式 / テンソルカテゴリー / 組ひもカテゴリー / 形式群 / アフィン群 / コサイクル変形 / アフィン群スキーム / 組紐圏 / テンソル圏 / ピカール・ヴェシオ理論 / 量子群 / ホップ代数 / saturation / axiomatic set theory / axiomatizability / axiom / finite model / generic structure / タイリング / 定義可能 / 同型 / 再帰的 / ペアノ公理系 / 自然数 / 公理化 / 公理系 / 有限モデル / ジェネリック構造 / weak Freese-Nation Property / saturatlon / ideal / large cardinals / 巨大基数公理 / 集合 / Peano Arithmetic / Simple Theory / 同型写像 / the club filter / predictor / stick / subtle / stationaty set / 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 / weak Freese-Nation property / 定義可能性 / 一階論理式 / ペアノの公理 / 可算モデル / bounded ideal / continuum hypothesis / elementary submodel / very weak square principle / clused unbounded filter / seminormal ideal / Precipitous / boundedイデアル / 強制 / 連続体仮説 / 強到達不能基数 / 双対フィルター / 上限関数 / 有界集合 / Pκλ / 濃度 / 到達不能基数 / 非有界集合 / Bounded イデアル / selective イデアル / 弱正規イデアル / selective ideal / Q-point / P-point / Rudin-Keisler ordering / 順序極小 / 構造 / 定義可能集合 / ロジック / regular space / projection / Lindelof space / normal space / orthocompact / compact space / unbranched proerty / P(λ) / cofinality / 独立 / 言語 / 独立性 / 連続濃度 / 一様列 / タイプの排除 / 数学基礎論 / 結合子 / 単一化 / 高階型理論 / ラムゼ-の定理 / フィルター / 順序構造 / 安定 / 単純 / 圏論 / インターフェース / 証明検証 Less
  • Research Projects

    (28 results)
  • Research Products

    (92 results)
  • Co-Researchers

    (33 People)
  •  巨大基数の崩壊モデルへの新たなアプローチPrincipal Investigator

    • Principal Investigator
      塩谷 真弘
    • Project Period (FY)
      2021 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12030:Basic mathematics-related
    • Research Institution
      University of Tsukuba
  •  Research to elucidate Shelah's conjecture and its related branches in model theory

    • Principal Investigator
      Tsuboi Akito
    • Project Period (FY)
      2017 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      University of Tsukuba
  •  Omitting Types Theorem and Infinite Combinatrics

    • Principal Investigator
      TSUBOI Akito
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      University of Tsukuba
  •  Construction of models of higher Chang conjectures and saturated idealsPrincipal Investigator

    • Principal Investigator
      SHIOYA Masahiro
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tsukuba
  •  Ideals on P\kappa\lambda which does not depend on large cardinals

    • Principal Investigator
      ABE Yoshihiro
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kanagawa University
  •  Omitting types theorem and its application

    • Principal Investigator
      TSUBOI Akito
    • 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
      University of Tsukuba
  •  Infinite combinatorial principles and compact cardinals

    • Principal Investigator
      ABE Yoshihiro
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kanagawa University
  •  Study of first order model theory and its application

    • Principal Investigator
      TSUBOI Akito
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tsukuba
  •  Study of the large infinite intrinsic to the small infinitePrincipal Investigator

    • Principal Investigator
      SHIOYA Masahiro
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tsukuba
  •  Unifying differential and difference Picard Vessiot theories by using Hopfalgebras

    • Principal Investigator
      MASUOKA Akira
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Tsukuba
  •  Ideals on P_κλ considered from the point of view of the relation with large cardinals axioms and the generalized continuum hypothesis

    • Principal Investigator
      ABE Yoshihiro
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kanagawa University
  •  Application of ideals for Godel's Program

    • Principal Investigator
      MATSUBARA Yo
    • 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
      Nagoya University
  •  Set-theoretic study of measuresPrincipal Investigator

    • Principal Investigator
      SHIOYA Masahiro
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tsukuba
  •  Applications of pcf to ideals on P_κλ and infinitary combinatorics, and independence proof

    • Principal Investigator
      ABE Yoshihiro
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kanagawa University
  •  Infinite Method in Finite Model Theory and its application for aiming to solve Lachlan's conjecture.

    • Principal Investigator
      TSUBOI Akito
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tsukuba
  •  Large cardinal properties of ideals

    • Principal Investigator
      MATSUBARA Yo
    • 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
      Nagoya University
  •  Ideals on Ρ_κλ and infinitary combinatorics related to large cardinal axiom

    • Principal Investigator
      ABE Yoshihiro
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kanagawa University
  •  Simplicity and Amalgamation in Model Theory

    • Principal Investigator
      TSUBOI Akito
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Institute of Mathematics, University of Tsukuba
  •  Ideals with large cardinal properties

    • Principal Investigator
      MATSUBARA Yo
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  定常集合の組合せ論Principal Investigator

    • Principal Investigator
      塩谷 真弘
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tsukuba
  •  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
  •  Applications of forcing and large cardinal axioms to infinitary combinatorics

    • Principal Investigator
      ABE Yoshihiro
    • 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
      Kanagawa University
  •  Study of theories with finitely many countable models.

    • Principal Investigator
      TSUBOI Akito
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tsukuba.
  •  モデル理論における弱い同形概念の導入とその研究

    • Principal Investigator
      坪井 明人
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tsukuba
  •  結合子項を用いた高階単一化アルゴリズム

    • Principal Investigator
      坂井 公
    • Project Period (FY)
      1997
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      計算機科学
    • Research Institution
      University of Tsukuba
  •  Independence proof concerning compact cardinals, continuum hypotbesis, and normal ultrafilters

    • Principal Investigator
      ABE Yoshihiro
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kanagawa University
  •  自動定理証明におけるインターフェースの研究

    • Principal Investigator
      SAKAI Ko
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      計算機科学
    • Research Institution
      University of Tsukuba
  •  巨大基数公理と無限組合せ論Principal Investigator

    • Principal Investigator
      塩谷 真弘
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tsukuba

All 2024 2022 2019 2013 2011 2008 2007 2006 2005 2003 Other

All Journal Article Presentation Book

  • [Book] 集合入門2019

    • Author(s)
      坪井明人 塩谷真弘 佐垣大輔
    • Total Pages
      155
    • Publisher
      牧野書店
    • ISBN
      9784434257964
    • Data Source
      KAKENHI-PROJECT-17K05342
  • [Journal Article] An explicit collapse for a dense filter2024

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Israel Journal of Mathematics

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K03334
  • [Journal Article] Nested products and a strongly centered filter2024

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K03334
  • [Journal Article] The Hahn-Banach theorem and a six-piece paradoxical decomposition of a ball2022

    • Author(s)
      Haruka Sato and Masahiro Shioya
    • Journal Title

      Proc.Amer.Math.Soc.

      Volume: 150

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K03334
  • [Journal Article] A model theoretic reflection principle revisited2013

    • Author(s)
      塩谷真弘
    • Journal Title

      RIMS Kokyuroku

      Volume: 1851 Pages: 72-86

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/1851.html

    • Data Source
      KAKENHI-PROJECT-23540119
  • [Journal Article] A model theoretic reflection principle revisited2013

    • Author(s)
      Masahiro Shioya
    • Journal Title

      RIMS Kokyuroku

      Volume: 1851

    • Data Source
      KAKENHI-PROJECT-23540119
  • [Journal Article] The Easton collapse and a saturated filter2011

    • Author(s)
      塩谷真弘
    • Journal Title

      RIMS Kokyuroku

      Volume: 1754 Pages: 108-114

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/1754.html

    • Data Source
      KAKENHI-PROJECT-23540119
  • [Journal Article] A proof of Shelah's strong covering theorem for P κ λ2008

    • Author(s)
      塩谷真弘
    • Journal Title

      Asian Journal of Mathematics 12

      Pages: 83-97

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540112
  • [Journal Article] Diamonds on Puλ2008

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Comput. prospects of Infinity (印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540112
  • [Journal Article] Diamonds on Pkλ2008

    • Author(s)
      Shioya, Masahiro
    • Journal Title

      Lect, Notes. Ser. Inst, Math. Sci 15

      Pages: 271-198

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540112
  • [Journal Article] Diamonds on P κ λ, Computational Prospects of Infinity, Part II, Presented talks2008

    • Author(s)
      塩谷真弘
    • Journal Title

      Lecture Notes Series, Institute of Mathematical Sciences, National University of Singapore 15

      Pages: 271-298

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540112
  • [Journal Article] A new saturated filter2008

    • Author(s)
      塩谷真弘
    • Journal Title

      公理的集合論と集合論的位相空間論, RIMS研究集会報告集 1595

      Pages: 63-69

    • Data Source
      KAKENHI-PROJECT-19540112
  • [Journal Article] Aproof of Shelah's strong covering theorom for Puλ2008

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Asian J. Math. (印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540112
  • [Journal Article] Stationary reflection and the club filter2007

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Journal of the Mathematical Society of Japan 59

      Pages: 1045-1065

    • NAID

      10019989322

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540143
  • [Journal Article] Stationary reflection and the club filter2007

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Journal of Mathematical Society of Japan 59

      Pages: 1045-1065

    • NAID

      10019989322

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540143
  • [Journal Article] Stationary reflection and the club filter2007

    • Author(s)
      塩谷真弘(Masahiro Shioya)
    • Journal Title

      Journal of the Mathematical Society of Japan 59

      Pages: 1045-1065

    • NAID

      10019989322

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540009
  • [Journal Article] Stationary reflection and the club filter2007

    • Author(s)
      塩谷真弘
    • Journal Title

      Journal of Mathematical Society of Japan 59

      Pages: 1045-1065

    • NAID

      10019989322

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540112
  • [Journal Article] Stationary reflection and the club filter2007

    • Author(s)
      Masahiro SHIOYA
    • Journal Title

      Journal of Mathematical Society of Japan Vol.59

      Pages: 1045-1065

    • NAID

      10019989322

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540009
  • [Journal Article] Stationary reflection and the club filter2007

    • Author(s)
      Masahiro Shioya
    • Journal Title

      J. Math, Soc. Japan 59

      Pages: 1045-1065

    • NAID

      10019989322

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540112
  • [Journal Article] An ultrafiltor with property 62006

    • Author(s)
      Shioya, Masahiro
    • Journal Title

      Proceedings of American Math. Society 134・6

      Pages: 1891-1821

    • Data Source
      KAKENHI-PROJECT-18540009
  • [Journal Article] Nonreflecting stationary sets in $\scr P\sb\kappa\lambda$2006

    • Author(s)
      Shelah, Saharon, Shioya, Masahiro
    • Journal Title

      Advances in Mathematics 199-1

      Pages: 185-191

    • Data Source
      KAKENHI-PROJECT-17540110
  • [Journal Article] An ultra filter with property 62006

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proc. Awer. Math. Soc 134

      Pages: 1819-1821

    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] An ultrafilter with property σ2006

    • Author(s)
      Shioya, Masahiro
    • Journal Title

      Proceeding of the American Mathematical Society 134

      Pages: 1819-1821

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540110
  • [Journal Article] Nonreflecting stationary sets in P_κλ2006

    • Author(s)
      Shelah, Saharon, Shioya, Masahiro
    • Journal Title

      Advances in Mathematics 199-1

      Pages: 185-191

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540110
  • [Journal Article] Nonreflecting stationary sets in Pκλ2006

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Advances in Mathematics 199・1

      Pages: 185-191

    • Data Source
      KAKENHI-PROJECT-18540143
  • [Journal Article] An ultrafilter with the property δ2006

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proceedings of the American Mathematical Society 134

      Pages: 1819-1821

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540143
  • [Journal Article] Nonreflecting stationary sets in P_κλ.2006

    • Author(s)
      Saharon Shelah, Masahiro Shioya
    • Journal Title

      Adv.Math. 199

      Pages: 185-191

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] An ultrafilter with property 62006

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proceedings of the American Mathematical Society 134・6

      Pages: 1819-1821

    • Data Source
      KAKENHI-PROJECT-16540127
  • [Journal Article] Nonreflecting stationary sets in P_κλ2006

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Advances in Mathematics 199

      Pages: 185-191

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540127
  • [Journal Article] Nonreflecting stationary sets in Pud2006

    • Author(s)
      Saharon Shelan, Masahiro Shioya
    • Journal Title

      Adv. Math. 199

      Pages: 185-191

    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] ultrafilter with property σ2006

    • Author(s)
      Shioya, Masahiro
    • Journal Title

      Proceeding of the American Mathematical Society 134

      Pages: 1819-1821

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540110
  • [Journal Article] Nonreflecting stationary sets in P_kλ2006

    • Author(s)
      Shelah, Saharon, Shioya, Masahiro
    • Journal Title

      Advances in Mathematics 199-1

      Pages: 185-191

    • Data Source
      KAKENHI-PROJECT-17540110
  • [Journal Article] An ultrafilter with property σ.2006

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proc.Amer.Math.Soc. 134

      Pages: 1819-1821

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] Au ultrafilter with property σ2006

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proc. Amer. Math. Soc. 134

      Pages: 1819-1821

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] An ultrafilter with property σ2006

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proceedings of the American Mathematical Society 134

      Pages: 1819-1821

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540127
  • [Journal Article] Non reflecting stationary sets in P_kλ2006

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Advance in Mathematics 199.1

      Pages: 185-191

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540127
  • [Journal Article] An ultrafilter with property σ2006

    • Author(s)
      Shioya, Masahiro
    • Journal Title

      Proceedings of Amer.Math.Soc 134・6

      Pages: 1819-1821

    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] An ultrafilter with preperty 62006

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proceedings of the American Mathematical Society 134.6

      Pages: 1819-1821

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540127
  • [Journal Article] An ultrafilter with the property σ2006

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proceedings of the American Mathematical Society 134

      Pages: 1819-1821

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540143
  • [Journal Article] Nonreflecting stationary sets in P_κλ2006

    • Author(s)
      Shelah, Saharon, Shioya Masahiro
    • Journal Title

      Advances in Mathematics 199-1

      Pages: 185-191

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540110
  • [Journal Article] Nonreflecting stationary sets in Puλ2006

    • Author(s)
      Saharon Shelah, Masahiro shioya
    • Journal Title

      Adv. Math. 199

      Pages: 185-191

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] An ultrafilter with the propertyσ2006

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proceedings of the American Mathematical Society 134・6

      Pages: 1819-1821

    • Data Source
      KAKENHI-PROJECT-18540143
  • [Journal Article] Partitioning pairs of uncountable sets.2005

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Logic Colloquium 2000, Lecture Notes in Logic, Association for Symbolic Logic, Urbana, IL 19

      Pages: 350-364

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540104
  • [Journal Article] Partitioning pairs of uncountable sets.2005

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Logic Colloquium 2000, Lecture Notes in Logic, 19, Association for Symbolic Logic, Urbana, IL, 2005. 19号

      Pages: 350-364

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540104
  • [Journal Article] Partitioning pairs of uncountable sets2005

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Lecture Notes in Logic 19

      Pages: 350-364

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] Partitioning pairs of uncountable sets2005

    • Author(s)
      Shioya, Masahiro
    • Journal Title

      Lecture Notes in Logic 19

      Pages: 350-364

    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] Partitioning pairs of uncountable sets2005

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Logic Colloquium 2000, Lecture Notes in Logic 19

      Pages: 350-364

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540127
  • [Journal Article] Partitioning pairs of uncountable sets.2005

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Lecture Notes in Logic 19

      Pages: 350-364

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] Partitioning pairs of uncountable sets2005

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Logic Colloquium 200,Lecture Notes in Logic 19

      Pages: 350-364

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540127
  • [Journal Article] Partitioning pairs of uncountable sets.2005

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Logic Colloquium 2000, Lecture Notes in Logic, 19,Association for Symbolic Logic, Urbana, IL,2005 19号

      Pages: 350-364

    • Data Source
      KAKENHI-PROJECT-15540104
  • [Journal Article] A saturated stationary subset of P_κκ^+2003

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Mathematical research Letters 10

      Pages: 493-500

    • Data Source
      KAKENHI-PROJECT-15540115
  • [Journal Article] A saturated stationary subset of P_κκ^+2003

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Mathematical Research Letters 10

      Pages: 493-500

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540115
  • [Journal Article] A new saturated filter

    • Author(s)
      Masahiro Shioya
    • Journal Title

      数理解析研究所考究録 (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540143
  • [Journal Article] A proof of Shelah's covering theorem for ρ_kλ

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Asian Journal of Mathematics (in press)(to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540143
  • [Journal Article] Stationary reflection and the club filter

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Journal of Mathematical Society of Japan (to appear)

    • NAID

      10019989322

    • Data Source
      KAKENHI-PROJECT-18540143
  • [Journal Article] A new saturated filter

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Surikaisekikenkyusho Kokyuroku (in press)(to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540143
  • [Journal Article] Stationary reflection and the club filter

    • Author(s)
      Masahiro Shioya
    • Journal Title

      J. Math. Soc. Japan (to appear)

    • NAID

      10019989322

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] Nonreflecting stationary sets in P_κλ

    • Author(s)
      Saharon Shelah, 塩谷真弘
    • Journal Title

      Advances in Math. (発表予定)

    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] An ultrafilter with property σ

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proceedings of the American Mathematical Society (発表予定)

    • Data Source
      KAKENHI-PROJECT-16540127
  • [Journal Article] Diamonds on P_kλ

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Computational Prospects of Infinity, to appear

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540143
  • [Journal Article] Stationary reflection and the club filter.

    • Author(s)
      Masahiro Shioya
    • Journal Title

      J.Math.Soc.Japan (to appear)

    • NAID

      10019989322

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] Stationary reflection and the club filter

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Journal of Mathematical Society of Japan to appear

    • NAID

      10019989322

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540127
  • [Journal Article] Nonreflecting stationary sets in P_κλ

    • Author(s)
      Masahiro Shioya, Saharon Shelah
    • Journal Title

      Advances in Mathematics (発表予定)

    • Data Source
      KAKENHI-PROJECT-16540127
  • [Journal Article] Diamonds on Pud

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proc. Computational Prospects of Infinity (to appear)

    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] Diamonds on Pκλ

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proceedings of Computational Prospects of Infinity (to appear)

    • Data Source
      KAKENHI-PROJECT-18540143
  • [Journal Article] Stationary reflection and the club filter

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Jour. Math. Soc. Japan (to appear)

    • NAID

      10019989322

    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] Diamonds on Puλ

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proc. of Comput. Prospects of Infinity (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] A proof of Shelah's covering theorem for P_kλ

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Asian Journal of Mathematics (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540143
  • [Journal Article] Diamonds on P_κλ

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proceedings of Computational Prospects Infinity to appear

    • Data Source
      KAKENHI-PROJECT-16540127
  • [Journal Article] Stationary reflection and the club filter

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Journal of Mathematical Society of Japan to appear

    • NAID

      10019989322

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540127
  • [Journal Article] Diamonds on P_kλ

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Computational Prospects of Infinity (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540143
  • [Journal Article] Stationary reflection and the club filter

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Journal of the Mathematical Society of Japan to appear

    • NAID

      10019989322

    • Data Source
      KAKENHI-PROJECT-16540127
  • [Journal Article] An ultrafilter with property

    • Author(s)
      塩谷真弘
    • Journal Title

      Proc.Amer.Math.Soc. (発表予定)

    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] Diamonds on ρ_kλ

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proceedings of Computational Prospects of infinity (in press)(to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540143
  • [Journal Article] Diamonds on P_κλ.

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proceedings of Computational Prospects of Infinity (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] Partitioning pairs of uncountable sets

    • Author(s)
      塩谷真弘
    • Journal Title

      Proceedings of LC2000 (発表予定)

    • Data Source
      KAKENHI-PROJECT-16540094
  • [Journal Article] Diamonds on P_κλ

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proceedings of Computational Prospects of infinity to appear

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540127
  • [Journal Article] Diamonds on P_kλ

    • Author(s)
      Masahiro Shioya
    • Journal Title

      Proceedings of Computational Prospects of Infinity to appear

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540127
  • [Presentation] A simplified approach to saturated ideals2013

    • Author(s)
      塩谷真弘
    • Organizer
      Reflection Principles and Set Theory of Large Cardinals
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-23540119
  • [Presentation] A simplified approach to saturated ideals2013

    • Author(s)
      Masahiro Shioya
    • Organizer
      Reflection principles and set theory of large cardinals
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-23540119
  • [Presentation] 定常集合の組合せ論2008

    • Author(s)
      塩谷真弘
    • Organizer
      日本数学会年会数学基礎論・歴史分科会 特別講演
    • Place of Presentation
      近畿大学理工学部
    • Year and Date
      2008-03-25
    • Data Source
      KAKENHI-PROJECT-19540112
  • [Presentation] 定常集合の組合せ論2008

    • Author(s)
      塩谷 真弘
    • Organizer
      日本数学会年会(数学基礎論・歴史分科会特別講演)
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-25
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540143
  • [Presentation] A model of a saturated ideal2008

    • Author(s)
      塩谷真弘
    • Organizer
      Asian Logic Conference
    • Place of Presentation
      神戸大学工学部
    • Year and Date
      2008-09-02
    • Data Source
      KAKENHI-PROJECT-19540112
  • [Presentation] Combinatorics on stationary sets2008

    • Author(s)
      Masahiro Shioya
    • Organizer
      Annual Meeting of Mathematical Society of Japan
    • Place of Presentation
      Kinki University
    • Year and Date
      2008-03-25
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540143
  • [Presentation] A unode of a satorated ideal2008

    • Author(s)
      Shioya, Masahiro
    • Organizer
      Asian Logic conference
    • Place of Presentation
      神戸大学
    • Year and Date
      2008-09-02
    • Data Source
      KAKENHI-PROJECT-19540112
  • [Presentation] 定常集合の組合せ論2008

    • Author(s)
      塩谷 真弘
    • Organizer
      日本数学会年会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-25
    • Data Source
      KAKENHI-PROJECT-19540112
  • [Presentation] Simple construction of saturated ideals along Kunen's argument2007

    • Author(s)
      塩谷 真弘
    • Organizer
      数学教室談話会
    • Place of Presentation
      神奈川大学
    • Year and Date
      2007-02-20
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540143
  • [Presentation] Simple construction of saturated ideals along Kunen's argument2007

    • Author(s)
      Masahiro Shioya
    • Organizer
      Mathematical Seminar
    • Place of Presentation
      Kanagawa University
    • Year and Date
      2007-02-20
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540143
  • [Presentation] Kunen's saturated ideal revisited2007

    • Author(s)
      Masahiro Shioya
    • Organizer
      Singular Cardinal Combinatorics and Inner Models
    • Place of Presentation
      University of Florida
    • Year and Date
      2007-03-06
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540143
  • [Presentation] A new model with a saturated filter2007

    • Author(s)
      塩谷真弘
    • Organizer
      公理的集合論と集合論的位相空間論
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-11-28
    • Data Source
      KAKENHI-PROJECT-19540112
  • [Presentation] A new model with a saturated filter2007

    • Author(s)
      Masahiro Shioya
    • Organizer
      公理的集合論と集合論的位相空間論
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-11-28
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540143
  • [Presentation] A new model with a saturated filter2006

    • Author(s)
      Masahiro Shioya
    • Organizer
      Axiomatic Set Theory and Set-Theoretic Topology
    • Place of Presentation
      Surikaisekikenkyusho
    • Year and Date
      2006-10-18
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540143
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    # of Collaborated Products: 0 results
  • 33.  OKABE Shunsuke
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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