alexa Transitive actions of locally compact groups on locally contractible spaces


Journal of Generalized Lie Theory and Applications

Author(s): Karl H Hofmann, Linus Kramer

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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.

This article was published in Journal für die reine und angewandte Mathematik and referenced in Journal of Generalized Lie Theory and Applications

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