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MORISUGI Kaoru  森杉 馨

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

    (24 results)
  • Research Products

    (2 results)
  • Co-Researchers

    (33 People)
  •  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
    # of Collaborated Products: 0 results
  • 8.  SHIMOMURA Katsumi (30206247)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 9.  TSUKIYAMA Kouzou (20093651)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 10.  KOMATSU Kazushi (00253336)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 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
    # of Collaborated Products: 0 results
  • 15.  YAMAGUCHI Toshihiro (90346700)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  KOBAYASHI Teiichi (30033806)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 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
    # of Collaborated Products: 0 results
  • 20.  KAWAKAMI Tomohiro (20234023)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  ANDO Hiroshi (60292471)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  MATSUDA Ryuki (10006934)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  AIBA Akira (90202457)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  WATANABE Takashi (20089957)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  今井 敏博 (20211063)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  片山 聡一郎 (70283942)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 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
    # of Collaborated Products: 0 results
  • 31.  三村 護 (70026772)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 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

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