On the homotopy types of the groups of equivariant diffeomorphisms

DOI10.2977/PRIMS/1195187218zbMath0453.58013OpenAlexW2044108740MaRDI QIDQ1149155

Kōjun Abe

Publication date: 1980

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195187218

zbMATH Keywords

path spacehomotopy type of the group of equivariant diffeomorphisms of a closed connected smooth G-manifold Morbit space homeomorphic to an unit interval

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Homotopy equivalences in algebraic topology (55P10) Compact Lie groups of differentiable transformations (57S15) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05)

Related Items (1)

Diffeomorphism groups of compact manifolds

Cites Work

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• On commutators of equivariant diffeomorphisms
• Classification of differentiable actions on \(S^ n, R^ n\), and \(D^ n\) with \(S^ k\) as the principal orbit type
• Topologie de certains espaces de plongements

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