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arXiv · 1301.5114

Transitive actions of locally compact groups on locally contractible spaces

Karl H. Hofmann·Linus Kramer
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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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Karl H. Hofmann, Linus Kramer. 2013-01-22. Transitive actions of locally compact groups on locally contractible spaces. https://arxiv.org/abs/1301.5114

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