Self homotopy groups of Hopf spaces with at most three cells

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概要

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• We prove that if X is a connected H-space with at most three cells of positive dimension, then the self homotopy set of X becomes a group relative to the binary operation induced from any multiplication on X, and we determine its group structure in some cases.

• 社団法人 日本数学会の論文

著者

• OSHIMA Hideaki

  Department of Mathematics, Osaka City University

• Oshima Hideaki

  Department Of Mathematical Sciences Ibaraki University

• MIMURA Mamoru

  Department of Mathematics, Okayama University

• Mimura Mamoru

  Department Of Mathematics Okayama University

• Mimura Mamoru

  Department Of Mathematics Faculty Of Science Okayama University

関連論文

• Cohomology Classification of Self Maps of Sphere Bundles over Spheres : Dedicated to Professor Yasutoshi Nomura on his 60th birthday
• On Stable Homotopy Types of Some Stunted Spaces
• On the Group of Equivariant Self Equivalences of Free Actions : Dedicated to Professor Masahiro Sugawara on his 60th Birthday
• Self homotopy groups of Hopf spaces with at most three cells
• Self maps of spaces Dedicated to Professor Tsuyoshi Watabe on his sixtieth birthday
• A Remark on Almost-Quaternion Substructures on the Sphere : Dedicated to Professor Minoru Nakaoka on his 60th birthday
• Generalized Whitehead Spaces with Few Cells : Dedicated to the memory of Professor J. Frank Adams
• Higher ν_n torsion in Lie groups

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