Compact Lie group actions and fiber homotopy type

DOI10.2969/jmsj/03320295zbMath0493.57019OpenAlexW1988171802WikidataQ115225943 ScholiaQ115225943MaRDI QIDQ1168615

Katsuo Kawakubo

Publication date: 1981

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03320295

zbMATH Keywords

compact Lie group actionsequivariant deformation retractsequivariant stable fibre homotopy type of the tangent sphere bundle of a smooth G-manifoldG-homotopy equivalent manifoldsnormal representations of components of the fixed point sets

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Classification of homotopy type (55P15) Compact Lie groups of differentiable transformations (57S15)

Related Items (4)

Weyl Group Actions and Equivariant Homotopy Equivalence ⋮ Isovariant mappings of degree 1 and the gap hypothesis ⋮ Smith equivalence of representations ⋮ The groups \(J_G(^*)\) for compact Abelian topological groups \(G\)

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