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Transitive actions of locally compact groups on locally contractible spaces

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Type
Preprint
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Submission Date
Identifiers
arXiv ID: 1301.5114
Source
arXiv
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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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