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Transitive actions of locally compact groups on locally contractible spaces

Published 22 Jan 2013 in math.GR and math.GN | (1301.5114v4)

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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Authors (2)

  1. Karl H. Hofmann 
  2. Linus Kramer 

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