KAMO Shizuo 加茂静夫

… Alternative Names

加茂静雄カモシズオ

KAMO Sizuo 加茂静夫

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Researcher Number	30128764
External Links
Affiliation (based on the past Project Information) *help	2013: 大阪府立大学, 理学部, 名誉教授 2010: 大阪府立大学, 理学部, 教授 2005 – 2007: University of Osaka Prefecture, Faculty of Science, Professor, 理学部, 教授 2000 – 2004: 大阪府立大学, 総合科学部, 教授 2000: 大坂府立大学, 総合科学部, 教授 … More 1997 – 1998: 大阪府立大学, 総合科学部, 教授 1991 – 1995: 大阪府立大学, 総合科学部, 助教授 1988 – 1989: 大阪府立大学, 総合科学部, 助教授 Less
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / 解析学 Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Geometry
Keywords	Principal Investigator predictor / Almost coinading family / Generic extension / Cohen real / Martin's Axiom / Hausdorff-gap / Mycielski ideal / Game ideal / large cardinal / イデアル … More / constantly predict / partition property / Mahlo cardinal / Laver forcing / 基数不変量 / 強制法 / evasion number / プレディクター / shrinkability / cardinal invariant / forcing / evasion numbers / フ-リエ解析 / ウォルシュ関数 / フ-リェ級数 / 連続体仮設 / ハウスドルフのgap / almost coinciding family / フーリェ級数 / 概収束 / 有界変分 / ウェルシュ・フーリェ解析 / 単一性 / Fourier analysis / Walsh function / Fourier series … More Except Principal Investigator ineffability / P_κλ / stationary reflection / forcing / partition property / stationary set / unbounded set / 分割の性質 / reflection / saturated ideal / Pκλ / イデアル / indescribability / 正規極大フィルター / precipitous / diamond principle / club filter / コンパクト基数 / stationary / 強制法 / ideal / compact cardinal / normal ultrafilter / iterated forcing / supercompact cardinal / ineffable / cardinal invariant / Ρ_κλ / supercompact / nonstationary ideal / presaturation / 閾値関数 / ブ-ル関数 / 神経回路網 / 神経方程形 / リババレ-ション / フィボナッチ数列 / ニュ-ラルネット / 自己双対 / 代数群 / 数論的部分群 / コホモロジー / ユニタリー表現 / 保型表現 / cofinality / P(λ) / unbranched proerty / compact space / orthocompact / normal space / Lindelof space / projection / regular space / Rudin-Keisler ordering / P-point / Q-point / selective ideal / 弱正規イデアル / selective イデアル / Bounded イデアル / 非有界集合 / 到達不能基数 / 濃度 / Ｐκλ / 有界集合 / 上限関数 / 双対フィルター / 強到達不能基数 / 非標準論理学 / 超準解析 / 線形論理学 / 数理論理学 / 集合論的トポロジー / 安定性理論 / クリプケモデル / substructural logic / Browerian-valued model / elementary embedding / recursive ordinal / 型理論 / ファイマン種分 / Honest Polynomial Degree / Substructural Logic / Reverse Mathemtics / Motomsthematics / New-stardird Analysis / Inner Models / Supercompect Cardinals / BCK algchra / Non-standard logic / Non-standard analysis / Linear logic / Mathematical logic / 連続体仮説 / 強制 / boundedイデアル / Precipitous / seminormal ideal / clused unbounded filter / very weak square principle / elementary submodel / continuum hypothesis / bounded ideal / 強制法の理論 / 無限組合せ論 / 実数上の集合論 / 連続体の基数不変量 / 自然集合上の置換群 / 無限組み合わせ論 / FORCING THEORY / INFINITARY COMBINATORICS / SETS OF REALS / CARDINAL INVARIANTS / SYMMETRIC GROUP OVER ω / stationaty set / subtle / stick / predictor / the club filter / saturatlon / weak Freese-Nation Property / saturation / 飽和イデアル / クラブフィルター / mild ineffability / fiorcing Less

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
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
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
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
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
実数構造上の組み合わせから定まる基数不変量Principal Investigator
- Principal Investigator
  
  加茂静夫
- 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
  Osaka Prefecture University
CARDINAL INVARIANTS OF THE CONTINUUM AND THEIR APPLICATIONS
- 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
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
Properties of ideals on the real linePrincipal Investigator
- Principal Investigator
  
  KAMO Shizuo
- 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
  Osaka Prefecture University
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
リー群の保型表現とその応用
- Principal Investigator
  
  今野泰子
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka Prefecture University
ゲームイデアル構造の研究Principal Investigator
- Principal Investigator
  
  加茂静夫
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka Prefecture University
測度理論の基礎的研究Principal Investigator
- Principal Investigator
  
  加茂静夫
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka Prefecture University
COOPERATIVE RESEARCH OF MATHEMATICAL LOGIC AND ITS RELATED FIELDS
- Principal Investigator
  
  KAKUDA Yuzuru
- Project Period (FY)
  1992 – 1994
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
閾値関数系の解析と神経回路網への応用
- Principal Investigator
  
  佐藤優子
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka Prefecture University
Fundamental approach of Fourier analysis.Principal Investigator
- Principal Investigator
  
  KAMO Shizuo, 米田薫
- Project Period (FY)
  1987 – 1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  University of Osaka Prefecture

All 2007 Other

All Journal Article Presentation Book

[Book] 岩波数学辞典第4版(95-「強制法」pp.247-260)2007
- Author(s)
  加茂静夫
- 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(95-「強制法」pp.257-260)2007
- Author(s)
  加茂静夫
- Publisher
  岩波書店
- Data Source
  KAKENHI-PROJECT-18540143
[Journal Article] The cardinal coefficients of the ideal I_f
- Author(s)
  Shizuo Kamo(with Noboru Osuga)
- Journal Title
  
  Archive for Mathematical Logic (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] The cardinal coefficients of the ideal I_f
- Author(s)
  Shizuo Kamo(with Noboru Osuga)
- Journal Title
  
  Archive for Mathematical Logic to appear
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540143
[Presentation] On the property of forcing notion E2007
- Author(s)
  Shizuo Kamo
- Organizer
  Axiomatic Set Theory Meeting
- Place of Presentation
  Shizuoka University
- Year and Date
  2007-02-17
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540143
[Presentation] 集合論のブール値モデル2007
- Author(s)
  加茂静夫
- Organizer
  数学基礎論サマースクール
- Place of Presentation
  静岡大学
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540143
[Presentation] Boolean-valued model of set theory2007
- Author(s)
  Shizuo Kamo
- Organizer
  Summer School of Foundation of Mathematics
- Place of Presentation
  Shizuoka University
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540143
[Presentation] Forcing notionの性質Eに関して2007
- Author(s)
  加茂静夫
- Organizer
  公理的集合論研究集会
- Place of Presentation
  静岡大学
- Year and Date
  2007-02-17
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540143

1. ABE Yoshihiro (10159452)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
2. SHIOYAMA Sahiro (30251028)

# of Collaborated Projects: 7 results

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

# of Collaborated Projects: 5 results

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4. 米田薫 (80079029)

# of Collaborated Projects: 4 results

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5. 鈴木登志雄 (30235973)

# of Collaborated Projects: 3 results

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6. 佐藤優子 (50081419)

# of Collaborated Projects: 2 results

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7. 林利治 (10208621)

# of Collaborated Projects: 2 results

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8. 岡野初男 (40079033)

# of Collaborated Projects: 2 results

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9. USUBA Toshimichi (10513632)

# of Collaborated Projects: 2 results

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10. KAKUDA Yuzuru (50031365)

# of Collaborated Projects: 2 results

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11. TAKAHASHI Joji (30197149)

# of Collaborated Projects: 2 results

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12. 藤田久美子 (70079028)

# of Collaborated Projects: 1 results

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13. 数見哲也 (40224422)

# of Collaborated Projects: 1 results

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14. 今野泰子 (70028231)

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15. 山口睦 (80182426)

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16. 高橋哲也 (20212011)

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17. 石井伸郎 (30079024)

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18. HIRATAYA Sushi (70375400)

# of Collaborated Projects: 1 results

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19. KAMAE Tetsuro (80047258)

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20. MOTOHASHI Nobuyoshi (70015874)

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21. HAYASHI Susumu (40156443)

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22. ONO Hiroakira (90055319)

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23. 篠田寿一 (30022685)

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24. 田中一之 (70188291)

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25. 八杉舶満利子 (90022277)

# of Collaborated Projects: 1 results

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26. BRENDLE Jorg (70301851)

# of Collaborated Projects: 1 results

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27. EDA Katsuya (90015826)

# of Collaborated Projects: 1 results

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28. YAMADA Keigo (90111369)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

KAMO Shizuo 加茂 静夫

加茂 静雄 カモ シズオ

KAMO Sizuo 加茂 静夫

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実数構造上の組み合わせから定まる基数不変量Principal Investigator

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Properties of ideals on the real linePrincipal Investigator

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ゲームイデアル構造の研究Principal Investigator

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測度理論の基礎的研究Principal Investigator

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KAMO Shizuo 加茂静夫

加茂静雄カモシズオ

KAMO Sizuo 加茂静夫