MORISUGI Kaoru 森杉馨

Researcher Number	00031807
Affiliation (based on the past Project Information) *help	2013: 和歌山大学, 教育学部, その他 2011 – 2013: 和歌山大学, 教育学部, 特任教授 1989 – 2010: 和歌山大学, 教育学部, 教授 1987 – 1988: 和歌山大学, 教育学部, 助教授
Review Section/Research Field	Principal Investigator Geometry / 代数学・幾何学 / Geometry Except Principal Investigator Geometry / Geometry / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学
Keywords	Principal Investigator mod p cohomology / Whitehead積 / Whitehead products / self maps / ホモトピー / サメルソン積 / Samelson積 / Hopf空間 / Lie群 / 球面のホモトピー群 … More / 自己ホモトピー写像類 / 巾零指数 / Moore space / Hopf spaces / Lie groups / homotopy groups of spheres / nilpotent class / Moore spaces / Whitehead product / homotopy group / projective space / symplectic group / unitory group / 射影空間 / K-理論 / suspension / H空間 / ファイバー束 / ホモトピー群 / 自己写像 / ホップ空間 / ホップ構成 / ホトヘッド積 / H-spaces / Samelson products / fiber bundles / homotopy groups / p regular / Homology / Homtopy / rank / filtration / 対称空間 / 交換子 … More Except Principal Investigator ホップ空間 / ホモトピー群 / H空間 / 実射影空間 / 自己写像 / A_n空間 / associahedron / 射影空間 / reduced power operation / 高位ホモトピー可換性 / コホモロジー作用素 / A_n写像 / リー群 / ホモトピー / サメルソン積 / homotopy / Hopf space / quasi p-regular / retraction / Gorenstein ring / p正則性 / 法束 / ベクトル束 / pコンパクト群 / アトム分解 / 非安定高位コホモロジー作用素 / 高位ホモトピー結合性 / Steenrod作用素 / higher homotopy commutativity / Steenrod operations / 巾零指数 / 階数 / 交換子 / 冪零指数 / Lie group / self map / nilpotency class / rank / Samelson product / iterated H-deviation / 球面のホモトピー群 / Moore空間 / Moore space / Chow環 / 回転群SO(4) / H写像 / H-map / A_n-space / projective space / H-space / 高位ホトモトピー可換性 / permutohedron / permutoassociahedron / weak^* Dirichler環 / Hardy空間 / 極大イデアル空間 / Gleason part / fractional calculus / subordination / criteria for starlikeness / quaternionic projective space / muliーchained finete Markov / injective resolution / flat dimension / reflexive ideal / maximal quotient ring / トランスファー写像 / 安定ホモトピー / Markov decision process / utility function / utility optimal policy / utility deviation / risk premium / OLA-stopping time / 空間の既約分解 / アトミック空間 / 準p正則性 / 高位Toda積 / 安定拡張可能性 / レンズ空間 / Steifel多様体 / Long Toda積 / cyclohedron / 有限位相空間 / 有限単体的複体 / 配置空間 / 安定拡張可能 / 有理ホモトピー / Gottlieb群 / ジャックの補題 / アダマール積 / 単葉関数 / P葉星型関数 / P葉星型半径 / ホモトピー論 / 楕円コホモロジー論 / BP理論 / 保型形式 / 構成比データ / 主成分分析 / 距離分析 / 数量化III類 / An空間 / An写像 / 高位ホモトビー可換性 / mod3有限H空間 / mod5有限loop空間 / Harper-Zabrodsky作用素 / mod 3 cohomology / 戸田・スミスのスペクトラム / Samelson積 / mod3有限ホップ空間 / A_N-spaces / A_N-maps / mod 3 finite H-spaces / mod 5 finite loop spaces / p-regularity / Harper-Zabrodsky operation / commutator / 高位コホモロジー作用素 / 自己ホモトピー写像類 / mod p cohomology / 同変ホモトピー / Hopf spaces / higher order operations / homotopy groups of spheres / self homotopy equivalences / べき零指数 / ランク / extraspecial p-群 / extraspecial p-group / Chow ring / Whitehead積 / ポップ空間 / unstable higher order operation / 高位ヒモトピー可換性 / 準Cp-空間 / mod p torus theorem / タイリング空間 / A_n-map / homotopy group / Whitehead product / 自己写像ホモトピー類集合 / H-空間 / H-写像 / 局所化 / 群のべき零指数 / サルメソン積 / 例外リー群 / 回転群 / コンパクトリー群 / 自己ホモトピー同値写像 / 代数的サイクル / Brown-Petersonコホモロジー / モチビックコホモロジー / Lie grop / localization / nilpotency class of groups / C_n空間 / Toda-Smith複体 / 準周期的タイリング / C_n-space / 位相モノイド / shuffle polytope / 終結多面体 / ホモトピー可換性 / 安定拡張性 / 安定分解問題 / AC_n構造 / 高位ホトモトピー / Clark-Ewing space / cohomology operation / p-compact group / atomic space / topological monoid / higher homotopv commutativity / shuffle polytopes / A_n space / resulthedra Less

Study of Hopf spaces by using higher order cohomology operations
- Principal Investigator
  
  HEMMI Yutaka
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kochi University
Study of Hopf spaces and p-compact groups
- Principal Investigator
  
  HEMMI Yutaka
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kochi University
Study of the higher homotopy commutative Hopf spaees and its application to the higher category
- Principal Investigator
  
  HEMMI Yutaka
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kochi University
Study of algebraic structures on homotopy sets
- Principal Investigator
  
  OSHIMA Hideaki
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Ibaraki University
Study on rank filetration of finite H-spacesPrincipal Investigator
- Principal Investigator
  
  MORISUGI Kaoru
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  WAKAYAMA UNIVERSITY
Research on the higher homotopy commutativity and higher dimensional polytopes
- Principal Investigator
  
  HAMMI Yutaka
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kochi University
Algebraic structure of homotopy sets of self maps of Hopf spacesPrincipal Investigator
- Principal Investigator
  
  MORISUGI Kaoru
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  WAKAYAMA UNIVERSITY
Research on higher dimensional polyhedra and operads
- Principal Investigator
  
  HEMMI Yutaka
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  KOCHI UNIVERSITY
Homotopical properties of Lie groups and related spaces
- Principal Investigator
  
  OSHIMA Hideaki
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Ibaraki University
Classification of the cohomology rings of finite Hopf spaces
- Principal Investigator
  
  HEMMI Yutaka
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  KOCHI UNIVERSITY
Self maps of the suspension of H-spacesPrincipal Investigator
- Principal Investigator
  
  MORISUGI Kaoru
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Wakayama University
Self maps of Lie groups
- Principal Investigator
  
  OSHIMA Hideaki
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  IBARAKI UNIVERSITY
Hopf spaces and higher homotopy
- Principal Investigator
  
  HEMMI Yutaka
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  KOCHI UNIVERSITY
マルコフ決定過程における分散および期待効用に関する最適化の研究
- Principal Investigator
  
  門田良信
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Wakayama University
確率的多段決定過程における期待効用と危険度の最適化に関する研究
- Principal Investigator
  
  門田良信
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Wakayama University
複素射影空間の1回懸垂空間の非安定ホモトピーとその応用Principal Investigator
- Principal Investigator
  
  森杉馨
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Wakayama University
射影空間の安定ホモトピー性質と多重transfer写像の応用
- Principal Investigator
  
  今岡光範
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Wakayama University
Gorenstein環の極小移入分解とその応用
- Principal Investigator
  
  佐藤英雄
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Wakayama University
等質空間などにおけるWhitehead積とその応用Principal Investigator
- Principal Investigator
  
  森杉馨
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Wakayama University
解析関数,特に単葉関数族における位相的・代数的側面の研究とその応用
- Principal Investigator
  
  福井誠一
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Wakayama University
関数空間の位相・代数的構造の研究
- Principal Investigator
  
  貴志一男
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Wakayama University
ホモトピー論と関連分野の総合的研究
- Principal Investigator
  
  西田吾郎
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for Co-operative Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyoto University
統計解析における位相的代数的側面の研究とその応用
- Principal Investigator
  
  遠藤秀機
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Wakayama University
解析関数族の位相的・代数的構造の研究
- Principal Investigator
  
  福井誠一
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Wakayama University

All 2002 2001

All Journal Article

[Journal Article] The Whitehead square of a lift of the Hopf map to a mod 2 Moore space2002
- Author(s)
  K.Morisugi, J.Mukai
- Journal Title
  
  J.Math.Kyoto Univ. Vol.42-2
  
  Pages: 331-336
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540074
[Journal Article] Composition structure of the self maps of SU(3) and Sp(2)2001
- Author(s)
  K.Morisugi
- Journal Title
  
  Contemporary Math. Vol.274
  
  Pages: 233-240
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540074

1. HEMMI Yutaka (70181477)

# of Collaborated Projects: 12 results

# of Collaborated Products: 0 results
2. 佐藤英雄 (20107999)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
3. 貴志一男 (70043453)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
4. 福井誠一 (50031795)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
5. 門田良信 (90116294)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
6. OSHIMA Hideaki (70047372)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
7. 今岡光範 (20031817)

# of Collaborated Projects: 8 results

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8. SHIMOMURA Katsumi (30206247)

# of Collaborated Projects: 6 results

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9. TSUKIYAMA Kouzou (20093651)

# of Collaborated Projects: 5 results

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10. KOMATSU Kazushi (00253336)

# of Collaborated Projects: 5 results

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11. 遠藤秀機 (90031799)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
12. KAWAMOTO Yusuke (10531759)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
13. TAKEUCHI Mamoru (40007761)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
14. URABE Tohsuke (70145655)

# of Collaborated Projects: 3 results

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15. YAMAGUCHI Toshihiro (90346700)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. KOBAYASHI Teiichi (30033806)

# of Collaborated Projects: 2 results

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17. OHTSUKA Fumiko (90194208)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. YAGITA Nobuaki (20130768)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
19. UMEHARA Jun-iti (30036537)

# of Collaborated Projects: 1 results

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20. KAWAKAMI Tomohiro (20234023)

# of Collaborated Projects: 1 results

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21. ANDO Hiroshi (60292471)

# of Collaborated Projects: 1 results

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22. MATSUDA Ryuki (10006934)

# of Collaborated Projects: 1 results

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23. AIBA Akira (90202457)

# of Collaborated Projects: 1 results

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24. WATANABE Takashi (20089957)

# of Collaborated Projects: 1 results

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25. 今井敏博 (20211063)

# of Collaborated Projects: 1 results

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26. 片山聡一郎 (70283942)

# of Collaborated Projects: 1 results

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27. 池田徹 (00325408)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 小関煕純 (80170257)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. 西田吾郎 (00027377)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. 松本堯生 (50025467)

# of Collaborated Projects: 1 results

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31. 三村護 (70026772)

# of Collaborated Projects: 1 results

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32. 河野明 (00093237)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. 下村勝孝 (00201559)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

MORISUGI Kaoru 森杉 馨

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Study on rank filetration of finite H-spacesPrincipal Investigator

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Algebraic structure of homotopy sets of self maps of Hopf spacesPrincipal Investigator

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MORISUGI Kaoru 森杉馨