Abe Yoshihiro 阿部吉弘

… Alternative Names

阿部吉弘アベヨシヒロ

ABE Yoshihiro 阿部吉弘

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Researcher Number	10159452
External Links
Affiliation (Current)	2025: 神奈川大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2015 – 2022: 神奈川大学, 理学部, 教授 2012 – 2013: 神奈川大学, 理学部, 教授 2000 – 2011: Faculty of Engineering, Kanagawa University, Professor, 工学部, 教授 2004: Kanagawa University, Department of Engineering, Professor, 工学部, 講師 1995 – 2002: 神奈川大学, 工学部, 助教授 1994: 神奈川大学, 工学部, 専任講師 1994: 神奈川大学, 工学部, 講師
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 / Foundations of mathematics/Applied mathematics Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Algebra / Statistical science / Geometry
Keywords	Principal Investigator stationary reflection / P_κλ / ineffability / partition property / forcing / stationary set / unbounded set / Pκλ / saturated ideal / reflection … More / 分割の性質 / 飽和イデアル / club filter / diamond principle / precipitous / 正規極大フィルター / Q-point / indescribability / 強制法 / イデアル / 正規イデアル / 非定常イデアル / presaturation / nonstationary ideal / supercompact / Ρ_κλ / ideal / cardinal invariant / ineffable / supercompact cardinal / iterated forcing / normal ultrafilter / compact cardinal / Ｐκλ / 非有界集合 / selective イデアル / selective ideal / P-point / stationary / コンパクト基数 / 弱い分割の性質 / non-stationary イデアル / Pκλ上のイデアル / Cohen実数 / Prikry強制法 / weak P-point / 強コンパクト基数 / 選択公理 / 集合論的地質学 / 無限帽子パズル / 基数不変量 / local P-point / non-stationary ideal / 飽和度 / extendible 基数 / 位相 / 分離基数 / sup-function / 構造的性質 / 定常集合 / sup-関数 / イデアルの同型 / Ulam イデアル / rigidity / Ｒｕｄｉｎ－Ｋｅｉｓｌｅｒ順序 / 強正規イデアル / 有界イデアル / Katetov 順序 / subnormality / coherence / Rigidity / Ulam ideal / the non-stationary ideal / the bounded ideal / fiorcing / mild ineffability / クラブフィルター / saturation / weak Freese-Nation Property / saturatlon / the club filter / predictor / stick / subtle / stationaty set / 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 / 濃度 / 到達不能基数 / Bounded イデアル / 弱正規イデアル / Rudin-Keisler ordering / regular space / projection / Lindelof space / normal space / orthocompact / compact space / unbranched proerty / P(λ) / cofinality … More Except Principal Investigator 公理的集合論 / 無限組合せ論 / 数理論理学 / 飽和イデアル / 強制法 / 巨大基数 / 集合論 / set theory / Chang's conjecture / supercompact cardinal / Cohen models / weak Freese-Nation property / large cardinals / precipitous / イデアル / 反映原理 / 定常集合 / 飽和性 / フィルタ / 拡散過程近似 / 待ち行列 / Stationary set / Saturation / Filter / Forcing / Large cardinal / Infinitary combinatorics / Set theory / Mathematical logic / 超フィルタ / 生成超巾 / 定常集会 / axiomatic set theory / 巨大基数公理 / 集合 / multi layer queueing system / fractal Brownian motion / large deviation theory / Bessel process / diffusion approximation / integral of renewal process / approximation theory / queueing system / 2層型待ち待列網 / N-粒子系特異摂動 / エーレンフェスト型マルコフ過程 / 再成過程 / 2層型待ち行列綱 / 局所時間 / 占有時間問題 / 待ち行列ネットワーク / 多層型待ち行列 / フラクタルブラウン運動 / 大編差理論 / ベッセル過程 / 再生過程の積分 / 近似理論 / 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 / Cohen model / Ρ(ω) / Chang'sconjecture / 完備ブール代数 / 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 / 稠密イデアル / 数学基礎論 / マルチンゲ-ル理論 / 跳躍過程 / 多次元Skorohod方程式 / 確率積分 / 確率解析 / ネットワーク / nucleus of A conic / strange曲線 / 標数2 / 6点の配置 / Fermat Cubic Surface / Cubic Surface / 大偏差原理 / 遅変数 / 急速変数 / オルンシェタイン=ウーレンベック過程 / 中心極限定理 / リエナ-ル方程式 / 確率微分方程式 / 特異摂動 / 位相的性質 / 積空間 / 位相空間論 / 代数曲線符号 / Weirstrass Pair / Weierstrass半群 / gap列 / Weierstrass点 / 代数曲線 Less

Structural properties of ideals over P_{kappa}lambda and infinitary combinatoricsPrincipal Investigator
- Principal Investigator
  
  Abe Yoshihiro
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12030:Basic mathematics-related
- Research Institution
  Kanagawa University
Structural properties of ideals over Pk\lambdaPrincipal Investigator
- Principal Investigator
  
  Abe Yoshihiro
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Kanagawa University
Construction of models of higher Chang conjectures and saturated ideals
- 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 cardinalsPrincipal Investigator
- 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
Infinite combinatorial principles and compact cardinalsPrincipal Investigator
- 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 the large infinite intrinsic to the small infinite
- 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
Ideals on P_κλ considered from the point of view of the relation with large cardinals axioms and the generalized continuum hypothesisPrincipal Investigator
- 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 measures
- 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 proofPrincipal Investigator
- 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
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 axiomPrincipal Investigator
- 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
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
Applications of forcing and large cardinal axioms to infinitary combinatoricsPrincipal Investigator
- 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
Approximation of Queueing Networks : Theory and Applications
- Principal Investigator
  
  YAMADA Keigo
- 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
  Kanagawa 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
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
Independence proof concerning compact cardinals, continuum hypotbesis, and normal ultrafiltersPrincipal Investigator
- 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
待ち行列ネットワークの拡散過程近似とその応用
- Principal Investigator
  
  山田敬吾
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Statistical science
- Research Institution
  Kanagawa University
代数幾何の応用としてのコード理論
- Principal Investigator
  
  本間正明
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanagawa University
有限体上の代数曲線論のcoding theoryへの応用
- Principal Investigator
  
  本間正明
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanagawa University
位相積空間の多面的考察
- Principal Investigator
  
  矢島幸信
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kanagawa University
特異摂動の入った確率微分方程式系における急速変数と引き込み現象の解析
- Principal Investigator
  
  成田清正
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kanagawa University

All 2019 2018 2016 2015 2013 2012 2011 2009 2008 2007 2005 Other

All Journal Article Presentation Book

[Book] 岩波数学辞典第4版(104-「巨大基数」pp.296-299)2007
- Author(s)
  阿部吉弘
- Publisher
  岩波書店
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540143
[Book] 岩波数学辞典第4版(239-「選択公理」pp.716-717)2007
- Author(s)
  阿部吉弘
- Publisher
  岩波書店
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540143
[Book] 岩波数学辞典第4版(104-「巨大基数」pp. 296-299)2007
- Author(s)
  阿部吉弘
- Publisher
  岩波書店
- Data Source
  KAKENHI-PROJECT-18540143
[Journal Article] Structural properties of ideals over Pκλ I2015
- Author(s)
  Yoshihiro Abe
- Journal Title
  
  Tsukuba Journal of Mathematics
  
  Volume: 39 Pages: 83-95
- NAID
  120007178961
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04984
[Journal Article] Note on the partition property of Ｐκλ2012
- Author(s)
  Yoshihiro Abe - Toshimichi Usuba
- Journal Title
  
  Archive for Mathematical Logic
  
  Volume: to appear
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540167
[Journal Article] Notes on the partition property of P_κλ2012
- Author(s)
  Yoshihiro Abe, Toshimichi Usuba
- Journal Title
  
  Archive for Mathematical Logic
  
  Volume: 51 Pages: 575-589
- Data Source
  KAKENHI-PROJECT-23540167
[Journal Article] Notes on the partition property of Pκλ2012
- Author(s)
  阿部吉弘, 薄葉季路
- Journal Title
  
  Arch. Math. Logic
  
  Volume: 51 Pages: 575-589
- URL
  http://link.springer.com/article/10.1007/s00153-012-0283-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540119
[Journal Article] Note on the partition property of Pκλ2012
- Author(s)
  Yoshihiro Abe, Toshimichi Usuba
- Journal Title
  
  Archive for Mathematical Logic
  
  Volume: 51 Pages: 575-589
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540167
[Journal Article] Notes on subtlety and ineffability in P_κλ2005
- Author(s)
  Yoshihiro Abe
- Journal Title
  
  Archive for Mathematical Logic 44
  
  Pages: 619-631
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540127
[Journal Article] Notes on subtlety and ineffability in P_κλ.2005
- Author(s)
  Yoshihiro Abe
- Journal Title
  
  Arch.Math.Logic 44
  
  Pages: 619-631
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540094
[Journal Article] Notes on subtlety and ineffability in P_κλ2005
- Author(s)
  Yoshihiro Abe
- Journal Title
  
  Archive for Mathematical Logic 44・5
  
  Pages: 619-631
- Data Source
  KAKENHI-PROJECT-16540127
[Journal Article] Notes on subtlety and ineffability in P_kλ2005
- Author(s)
  Yoshiniro abe
- Journal Title
  
  Archive for Mathematical Logic 44.5
  
  Pages: 619-631
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540127
[Journal Article] Notes on subtlety and ineffability in Puλ2005
- Author(s)
  Yoshihiro Abe
- Journal Title
  
  Arch. Math. Logic 44
  
  Pages: 619-631
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540094
[Journal Article] Notes on subtlety and ineffability in P_κλ
- Author(s)
  Yoshihiro Abe
- Journal Title
  
  Archive for Mathematical Logic (発表予定)
- Data Source
  KAKENHI-PROJECT-16540127
[Presentation] A condition for an ideal to be a P-poit2019
- Author(s)
  阿部吉弘
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-18K03404
[Presentation] Pκλ上のイデアルの構造理論2018
- Author(s)
  阿部吉弘
- Organizer
  山陰基礎論・解析学セミナー2018
- Data Source
  KAKENHI-PROJECT-15K04984
[Presentation] The extent of the ideals over Pκλ below the bounded ideal in the Rudin-Keisler ordering2016
- Author(s)
  阿部吉弘
- Organizer
  日本数学会2016年度秋季総合分科会
- Place of Presentation
  関西大学
- Data Source
  KAKENHI-PROJECT-15K04984
[Presentation] Pκλ上の isocoherence をどう定義するか2015
- Author(s)
  阿部吉弘
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-15
- Data Source
  KAKENHI-PROJECT-15K04984
[Presentation] Unbounded sets of P_κλ with cardinality < λ^<<κ>2013
- Author(s)
  阿部吉弘
- Organizer
  日本数学会2013年度秋季総合分科会
- Place of Presentation
  愛媛大学
- Year and Date
  2013-09-27
- Data Source
  KAKENHI-PROJECT-23540167
[Presentation] Unbounded sets of Pκλwith cardinality <λ<κ2013
- Author(s)
  阿部吉弘
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-23540167
[Presentation] P_κλ上のイデアルの制限されたstructural properties と弱い正規性2012
- Author(s)
  阿部吉弘
- Organizer
  日本数学会2012年度秋季総合分科会
- Place of Presentation
  九州大学
- Year and Date
  2012-09-21
- Data Source
  KAKENHI-PROJECT-23540167
[Presentation] P_κλのembedding について2011
- Author(s)
  阿部吉弘
- Organizer
  日本数学会2011年度秋季総合分科会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-28
- Data Source
  KAKENHI-PROJECT-23540167
[Presentation] Ｐκλの embedding について2011
- Author(s)
  阿部吉弘
- Organizer
  日本数学会2011年度秋季総合分科会
- Place of Presentation
  信州大学
- Data Source
  KAKENHI-PROJECT-23540167
[Presentation] The coincidence of ineffability with partition property2009
- Author(s)
  阿部吉弘
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-26
- Data Source
  KAKENHI-PROJECT-20540142
[Presentation] Ineffability and the partition property on P_kλ2008
- Author(s)
  Yoshihiro Abe
- Organizer
  神戸数理論理学セミナー
- Place of Presentation
  神戸大学
- Year and Date
  2008-03-05
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540143
[Presentation] Kunen's theorem on normal measures without the partition property2008
- Author(s)
  阿部吉弘
- Organizer
  The 10th Asian Logic Conference
- Place of Presentation
  神戸大学
- Year and Date
  2008-09-05
- Data Source
  KAKENHI-PROJECT-20540142
[Presentation] Ineffability and the partition property on P_κλ2008
- Author(s)
  Yoshihiro Abe
- Organizer
  Kobe Mathematical Logic Seminar
- Place of Presentation
  Kobe University
- Year and Date
  2008-03-05
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540143
[Presentation] On the coincidence of ineffability with partition property2007
- Author(s)
  阿部吉弘
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-24
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540143
[Presentation] On the coincidence of ineffability with partition property2007
- Author(s)
  Yoshihiro Abe
- Organizer
  Autumn Meeting of Mathematical Society of Japan
- Place of Presentation
  Tohoku University
- Year and Date
  2007-09-24
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540143
[Presentation] Pκλ上のイデアルの制限された structural properties と弱い正規性
- Author(s)
  阿部吉弘
- Organizer
  日本数学会2012年度秋季総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23540167

1. SHIOYA Masahiro (30251028)

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2. MATSUBARA Yo (30242788)

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3. KAMO Shizuo (30128764)

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4. FUCHINO Sakae (30292098)

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5. 酒井一博 (30205702)

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6. YAMADA Keigo (90111369)

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7. USUBA Toshimichi (10513632)

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8. 酒井政美 (60215598)

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9. NARITA Kiyomasa (10211450)

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10. TSUBOI Akito (30180045)

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11. YOSHINOBU Yasuo (90281063)

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12. 立花俊一 (50017159)

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13. BRENDLE Joerg (70301851)

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14. 本間正明 (80145523)

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15. 信太正之 (20271364)

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16. 南裕明 (70646885)

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17. HIRATAYA Sushi (70375400)

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18. KAKUDA Yuzuru (50031365)

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19. MIYAMOTO Tadatoshi (70229889)

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20. EDA Katsuya (90015826)

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21. KADA Masaru (00312447)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. SANNAMI Atsushi (30154157)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. TAKAHASHI Makoto (50154860)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. 矢島幸信 (10142548)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 新井敏康 (40193049)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. 篠田寿一 (30022685)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. PHILIP Welch (90294248)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 小澤正直 (40126313)

# of Collaborated Projects: 1 results

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29. 塚田信高 (50015559)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. KINO Issei

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. 信田正之

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Abe Yoshihiro 阿部 吉弘

阿部 吉弘 アベ ヨシヒロ

ABE Yoshihiro 阿部 吉弘

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Structural properties of ideals over P_{kappa}lambda and infinitary combinatoricsPrincipal Investigator

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Structural properties of ideals over Pk\lambdaPrincipal Investigator

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Ideals on P\kappa\lambda which does not depend on large cardinalsPrincipal Investigator

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Infinite combinatorial principles and compact cardinalsPrincipal Investigator

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Ideals on P_κλ considered from the point of view of the relation with large cardinals axioms and the generalized continuum hypothesisPrincipal Investigator

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Applications of pcf to ideals on P_κλ and infinitary combinatorics, and independence proofPrincipal Investigator

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Ideals on Ρ_κλ and infinitary combinatorics related to large cardinal axiomPrincipal Investigator

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Applications of forcing and large cardinal axioms to infinitary combinatoricsPrincipal Investigator

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Abe Yoshihiro 阿部吉弘

阿部吉弘アベヨシヒロ

ABE Yoshihiro 阿部吉弘