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Invariant proper metrics on coset spaces

Abstract : It is known that for every second countable locally compact group G, there exists a proper G-invariant metric which induces the topology of the group. This is no longer true for coset spaces G/H viewed as G-spaces. We study necessary and sufficient conditions which ensure the existence of such metrics on G/H.
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https://hal.archives-ouvertes.fr/hal-00733404
Contributor : Claire Anantharaman-Delaroche <>
Submitted on : Tuesday, September 18, 2012 - 3:40:26 PM
Last modification on : Thursday, May 3, 2018 - 3:32:06 PM
Document(s) archivé(s) le : Wednesday, December 19, 2012 - 3:45:45 AM

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  • HAL Id : hal-00733404, version 1
  • ARXIV : 1209.3962

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Claire Anantharaman-Delaroche. Invariant proper metrics on coset spaces. Topology and its Applications, Elsevier, 2013, 160, pp.546-552. ⟨hal-00733404⟩

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