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Transitive actions of locally compact groups on locally contractible spaces

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 Added by Linus Kramer
 Publication date 2013
  fields
and research's language is English




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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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