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Journal Articles Topology and its Applications Year : 2013

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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Dates and versions

hal-00733404 , version 1 (18-09-2012)

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