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Transitive actions of locally compact groups on locally contractible spaces (1301.5114v4)
Published 22 Jan 2013 in math.GR and math.GN
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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