MUKAI Juno 向井純夫

Researcher Number	50029675
Other IDs
External Links
Affiliation (based on the past Project Information) *help	2003 – 2004: 信州大学, 理学部, 教授 2001: Shinshu University, Science, Professor, 理学部, 教授 1995 – 1998: 信州大学, 理学部, 教授 1988 – 1994: 信州大学, 教養部, 教授 1987: 信州大学, 教養部・, 教授 1986: 信大, 教養部, 教授
Review Section/Research Field	Principal Investigator Geometry / 代数学・幾何学 / Geometry Except Principal Investigator 代数学・幾何学 / Geometry / Algebra
Keywords	Principal Investigator Todaの積 / Whitehead積 / 懸垂位数 / Whitehead product / Toda bracket / Hopf homomorphism / Hopf construction / homotopy type / suspension order / projective space … More / 戸田の積 / Moore空間 / 実射影空間 / Hopf準同形写像 / ホモトピー群 / Adams写像 / m-twisted / Hopf準同形 / Hopf構成 / ホモトピー型 / 射影空間 / コホモトピー群 / 球面の安定ホモトピー群 / Hopf不変量 / Adams予想 / K-理論 / レンズ(実射影)空間 / Kahn-Priddy map / 異方的フラクタル / BKW作用素 / (DO-P)形式 / 対称空間 / Hoof空間 / Jamesホモトピー切除定理 / 射影空間のホモトピー群 / suspension-order / Adams map / Jame homotopy切除定理 / Whitehead 積 / 射影空間の安定自己ホモトピ-同値類群 / James splitting / 射影空間の安定ホモトピ-群 / Hopt不変量 / Stiefel多様体 … More Except Principal Investigator 多様体 / calibration / G-多様体 / 群多元環 / 対称空間 / リー環 / ベクトル場 / 代数多様体 / Loewy列 / 可微分多様体 / order / dualizing module / Gorenstein dimension / Gorenstein Algebra / Noetherian algebra / 完全加群 / 有限入射次元 / バス予想 / ネータ環 / アルティン多元環 / 整環 / 双対加群 / ゴレンシュテイン次元 / ゴレンシュテイン多元環 / ネータ多元環 / transformation group / Cayley projective space / differential form / manifold / ポントリャ-ギン形式 / Cayley射影空間 / 変換群 / Caybey射影空間 / 微分形式 / モノドロミー / 括弧積 / 軌道空間 / 無限次元リー環 / 可微分曲線 / 可微分ベクトル場 / p化解群 / 直既約加群 / Auslander-Reiten列 / 正則閉曲線 / Burnside環 / Hopf空間 / ホモトピー / 同変 / 環論 / p可解群 / 根基 / 射影空間 / 正則曲線 / 特性類 / ホモトピー論 / 不変〓 / カルタン不変数 / 直既約射影加群 / group schemes / Homotopy / P-可解群 / モジュラ-表現 / 余加群 / 余代数 / ホップ代数 Less

Study on unstable homotopy groups of finite complexesPrincipal Investigator
- Principal Investigator
  
  MUKAI Juno
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shinshu University
Homological structure and representation of Noetherian algebras
- Principal Investigator
  
  NISHIDA Kenji
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Shinshu University
Geometric reserch of closed differential forms on manifolds
- Principal Investigator
  
  ABE Kojun
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  SHINSHU UNIVERSITY
ホモトピー論に関わる空間構造の研究Principal Investigator
- Principal Investigator
  
  向井純夫
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shinshu University
代数多様体を中心にした多様体の研究
- Principal Investigator
  
  岸本量夫
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Shinshu University
同変写像の分類と、その存在・非存在について
- Principal Investigator
  
  MATSUDA Toshimitsu
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shinshu University
多様体上の可微分ベクトル場のなすリー環の研究
- Principal Investigator
  
  阿部孝順
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shinshu University
準安定なホモトピー論の研究Principal Investigator
- Principal Investigator
  
  向井純夫
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shinshu University
群多元環とその根基の構造に関する研究
- Principal Investigator
  
  二宮晏
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Shinshu University
代数多様体を中心にした多様体の研究
- Principal Investigator
  
  岸本量夫
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Shinshu University
可微分多様体上のベクトル場と正則曲線の研究
- Principal Investigator
  
  阿部孝順
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Shinshu University
ホモトピ-群の安定性についての研究Principal Investigator
- Principal Investigator
  
  向井純夫
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Shinshu University
有限群の直既約表現に関する研究
- Principal Investigator
  
  二宮晏
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Shinshu University
ホップ代数の構造とその周辺の研究
- Principal Investigator
  
  西川耿
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Shinshu University
リーマン多様体における可微分曲線の位相的研究
- Principal Investigator
  
  阿部孝順
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Shinshu University
群多元環とその加群の構造
- Principal Investigator
  
  二宮晏
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Shinshu University
コホモトピー群の幾何学的性質をもつ元の研究Principal Investigator
- Principal Investigator
  
  向井純夫
- Project Period (FY)
  1986 – 1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Shinshu University

All 2005 2004 2003 Other

All Journal Article

[Journal Article] Self-homotopy of the double suspension of the real 6-projective Space2005
- Author(s)
  Toshiyuki Miyauchi, Juno Mukai
- Journal Title
  
  Kyushu J.Math. 59-1
  
  Pages: 1-16
- NAID
  110001263493
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540067
[Journal Article] Self-homotopy of the double suspension of the real 6-projective space2005
- Author(s)
  T.Miyauchi, J.Mukai
- Journal Title
  
  Kyushu J.Math. 59・1
  
  Pages: 101-116
- NAID
  110001263493
- Data Source
  KAKENHI-PROJECT-15540067
[Journal Article] Homotopy classification of twisted complex projective spaces2005
- Author(s)
  J.Mukai, K.Yamaguchi
- Journal Title
  
  Japan Math.Soc. 57・2(To appear)
- Data Source
  KAKENHI-PROJECT-15540067
[Journal Article] Orders of Whitehead products of ι_n with α in π ^n_{n+k} (n>k+1,k<25)2005
- Author(s)
  J, Mukai
- Journal Title
  
  Proceeding of the International conference on Homotopy Theory and related topics at Korea University (to appear)
- Data Source
  KAKENHI-PROJECT-15540067
[Journal Article] Self-homotopy of the double suspension of the real 6-projective space2005
- Author(s)
  Toshiyuki Miyauchi, Juno Mukai
- Journal Title
  
  Kyushu J.Math. 59
  
  Pages: 101-116
- NAID
  110001263493
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540067
[Journal Article] Self-homotopy of the double suspension of the real 6-projective Space2005
- Author(s)
  Toshiyuki Miyauchi, Juno Mukai
- Journal Title
  
  Kyushu J.Math. 58-1
  
  Pages: 203-209
- NAID
  110001263493
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540067
[Journal Article] Homotopy classification of twisted complex projective spaces2005
- Author(s)
  Juno Mukai, Kohhei Yamaguchi
- Journal Title
  
  J.Math.Soc.Japan 57-2 (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540067
[Journal Article] Homotopy classification of twisted complex projective spaces2005
- Author(s)
  Juno Mukai, Kohhei Yamaguchi
- Journal Title
  
  J.Math.Soc.Japan 57(To appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540067
[Journal Article] A direct summand in a homotopy group of the mod 2 Moore space2004
- Author(s)
  Arkadiy Spopenkov, Juno Mukai
- Journal Title
  
  Kyushu J.Math. 58-1
  
  Pages: 203-209
- NAID
  130000063085
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540067
[Journal Article] Lifting to the suspension of the real projective plane2004
- Author(s)
  Tomohisa Inoue, Juno Mukai
- Journal Title
  
  Jour.Fac, Sci.Shinshu Univ. 39
  
  Pages: 1-9
- NAID
  110004594348
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540067
[Journal Article] A direct summand in a homotopy group of the mod 2 Moore space2004
- Author(s)
  Arcadiy Skopenkov, Juno Mukai
- Journal Title
  
  Kyushu J.Math. 58
  
  Pages: 203-209
- NAID
  130000063085
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540067
[Journal Article] Lifting to the suspension of the real projective plane2004
- Author(s)
  T.Inoue, J.Mukai
- Journal Title
  
  Jour.Fac, Sci.Shinshu Univ. 39
  
  Pages: 1-9
- NAID
  110004594348
- Data Source
  KAKENHI-PROJECT-15540067
[Journal Article] The suspension order of the real even dimensional projective space2003
- Author(s)
  Juno Mukai
- Journal Title
  
  J.Math.Kyoto Univ. 43-4
  
  Pages: 755-769
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540067
[Journal Article] The suspension order of the real even dimensional projective space,2003
- Author(s)
  Juno Mukai
- Journal Title
  
  J.Math.Kyoto Univ 43
  
  Pages: 755-769
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540067
[Journal Article] A note on the Hopf homomorphism of a Toda bracket and its application2003
- Author(s)
  Tomohisa Inoue, Juno Mukai
- Journal Title
  
  Hiroshima Math.J. 33
  
  Pages: 379-389
- NAID
  110000016497
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540067
[Journal Article] A note on the Hopf homomorphism of a Toda bracket and its application2003
- Author(s)
  Tomohisa Inoue, Juno Mukai
- Journal Title
  
  Hiroshima Math.J. 33-3
  
  Pages: 379-389
- NAID
  110000016497
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540067
[Journal Article] Orders of Whitehead products of ι_n with α
- Author(s)
  Juno Mukai
- Journal Title
  
  Proceeding of the International conference on Homotopy Theory and related topics at Korea University in π^n_{n+k} (n>k+1, k<25) (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540067

1. NINOMIYA Yasushi (40092887)

# of Collaborated Projects: 14 results

# of Collaborated Products: 0 results
2. ABE Kojun (30021231)

# of Collaborated Projects: 13 results

# of Collaborated Products: 0 results
3. 西川耿 (30021223)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
4. KACHI Hideyuki (50020657)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
5. ASADA Akira (00020652)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
6. 岸本量夫 (10020653)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
7. 大堀正幸 (50020673)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
8. MATSUDA Toshimitsu (70020667)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. KAMIYA Hisao (80020676)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
10. 小林由美子 (10153652)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. TAMAKI Dai (10252058)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. 本田勝也 (50109302)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 高木啓行 (20206725)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. NISHIDA Kenji (70125392)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. IWANAGA Yasuo (80015825)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. FUJITA H. (60143161)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. HANAKI Akihide (50262647)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 山崎愛一 (10283590)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

MUKAI Juno 向井 純夫

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Study on unstable homotopy groups of finite complexesPrincipal Investigator

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ホモトピー論に関わる空間構造の研究Principal Investigator

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準安定なホモトピー論の研究Principal Investigator

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ホモトピ-群の安定性についての研究Principal Investigator

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MUKAI Juno 向井純夫