Abe Yoshihiro 阿部吉弘

… Alternative Names

Researcher Number	10159452
External Links
Affiliation (Current)	2020: 神奈川大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2015 – 2019: 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) / Foundations of mathematics/Applied mathematics / Basic Section 12030:Basic mathematics-related Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Algebra / Geometry / Statistical science
Keywords	Principal Investigator ineffability / P_κλ / stationary reflection / forcing / partition property / stationary set / Pκλ / unbounded set / 分割の性質 / reflection … More Except Principal Investigator 公理的集合論 / 集合論 / 巨大基数 / 強制法 / 飽和イデアル / 数理論理学 / 無限組合せ論 / 待ち行列 / 拡散過程近似 / フィルタ / 飽和性 / 定常集合 / 反映原理 / イデアル / precipitous / large cardinals / weak Freese-Nation property / Cohen models / supercompact cardinal / Chang's conjecture / set theory / 代数曲線 / Weierstrass点 / gap列 / Weierstrass半群 / Weirstrass Pair / 代数曲線符号 / 位相空間論 / 積空間 / 位相的性質 / 特異摂動 / 確率微分方程式 / リエナ-ル方程式 / 中心極限定理 / オルンシェタイン=ウーレンベック過程 / 急速変数 / 遅変数 / 大偏差原理 / Cubic Surface / Fermat Cubic Surface / 6点の配置 / 標数2 / strange曲線 / nucleus of A conic / ネットワーク / 確率解析 / 確率積分 / 多次元Skorohod方程式 / 跳躍過程 / マルチンゲ-ル理論 / 数学基礎論 / 稠密イデアル / Precipitous / proper forcing qxiom / コーエン実物 / Large Cardinals / コーエン実数 / 飽和的 / precipitousness / 中間論理 / Proper foking axiom / 分配律 / Hyting Algebra / inner modee / ideal / proper forcing axiom / Cohen real / 完備ブール代数 / Chang'sconjecture / Ρ(ω) / Cohen model / Open Coloring Axiom / forcing axioms / homogeneity principle / Cichon diagram / Cohen モデル / ブール代数 / 基数不変量 / complete Boolean algebras / P(ω) / 近似理論 / 再生過程の積分 / ベッセル過程 / 大編差理論 / フラクタルブラウン運動 / 多層型待ち行列 / 待ち行列ネットワーク / 占有時間問題 / 局所時間 / 2層型待ち行列綱 / 再成過程 / エーレンフェスト型マルコフ過程 / N-粒子系特異摂動 / 2層型待ち待列網 / queueing system / approximation theory / integral of renewal process / diffusion approximation / Bessel process / large deviation theory / fractal Brownian motion / multi layer queueing system / 集合 / 巨大基数公理 / axiomatic set theory / 定常集会 / 生成超巾 / 超フィルタ / Mathematical logic / Set theory / Infinitary combinatorics / Large cardinal / Forcing / Filter / Saturation / Stationary set Less

Pκλ上のイデアルの構造的性質と無限組合せ論Principal InvestigatorOngoing
- Principal Investigator
  
  阿部吉弘
- Project Period (FY)
  2018 – 2020
- 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
- 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)

# of Collaborated Projects: 13 results

# of Collaborated Products: 0 results
2. MATSUBARA Yo (30242788)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
3. KAMO Shizuo (30128764)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
4. FUCHINO Sakae (30292098)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. 酒井一博 (30205702)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
6. YAMADA Keigo (90111369)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. USUBA Toshimichi (10513632)

# of Collaborated Projects: 4 results

# of Collaborated Products: 3 results
8. 酒井政美 (60215598)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. NARITA Kiyomasa (10211450)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. TSUBOI Akito (30180045)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
11. YOSHINOBU Yasuo (90281063)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. 立花俊一 (50017159)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
13. BRENDLE Joerg (70301851)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. 本間正明 (80145523)

# of Collaborated Projects: 2 results

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15. 信太正之 (20271364)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. 南裕明 (70646885)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. HIRATAYA Sushi (70375400)

# of Collaborated Projects: 1 results

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18. KAKUDA Yuzuru (50031365)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. MIYAMOTO Tadatoshi (70229889)

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# of Collaborated Products: 0 results
20. EDA Katsuya (90015826)

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21. KADA Masaru (00312447)

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22. SANNAMI Atsushi (30154157)

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23. TAKAHASHI Makoto (50154860)

# of Collaborated Projects: 1 results

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24. 矢島幸信 (10142548)

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25. 新井敏康 (40193049)

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26. 篠田寿一 (30022685)

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27. PHILIP Welch (90294248)

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28. 小澤正直 (40126313)

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29. 塚田信高 (50015559)

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30. KINO Issei

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31. 信田正之

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Abe Yoshihiro 阿部 吉弘

ABE Yoshihiro 阿部 吉弘

Research Projects

Research Products

Co-Researchers

Pκλ上のイデアルの構造的性質と無限組合せ論Principal InvestigatorOngoing

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Structural properties of ideals over Pk\lambdaPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Infinite combinatorial principles and compact cardinalsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

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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

ABE Yoshihiro 阿部吉弘