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Transitive actions of locally compact groups on locally contractible spaces

Authors
  • Hofmann, Karl H.
  • Kramer, Linus
Type
Preprint
Publication Date
Jul 20, 2013
Submission Date
Jan 22, 2013
Identifiers
arXiv ID: 1301.5114
Source
arXiv
License
Yellow
External links

Abstract

Suppose that $X=G/K$ is the quotient of a locally compact group by a closed subgroup. If $X$ is locally contractible and connected, we prove that $X$ is a manifold. If the $G$-action is faithful, then $G$ is a Lie group.

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