Retractions of $H$-spaces

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概要

• 論文の詳細を見る

• Stasheff showed that if a map between $H$-spaces is an $H$-map, then the suspension of the map is extendable to a map between projective planes of the $H$-spaces. Stahseff also proved the converse under the assumption that the multiplication of the target space of the map is homotopy associative.We show by giving an example that the assumption of homotopy associativity of the multiplication of the target space is necessary to show the converse.We also show an analogous fact for maps between $A_n$-spaces.

• 広島大学の論文

著者

• Hemmi Yutaka

  Department Of Mathematics And Information Science Faculty Of Science Kochi University @page 159-165

関連論文

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• Retractions of $H$-spaces
• Homotopy Associative Finite $H$-Spaces and the ${\rm Mod}\,3$ Reduced Power Operations : Dedicated to Professor Masahiro Sugawara on his 60th birthday
• Higher homotopy commutativity and the resultohedra
• The Action of the Steenrod Algebra on the Cohomology of ${p}$-Compat Groups

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