Invariant metrics on G-spaces

Details Invariant metrics on G-spaces Invariant metrics on G-spaces

2001-05-28

arxiv.org/abs/math/0105230v1

Mathematics

Geometric Topology

20 pages

Scientific paper

Let X be a G-space such that the orbit space X/G is metrizable. Suppose a family of slices is given at each point of X. We study a construction which associates, under some conditions on the family of slices, with any metric on X/G an invariant metric on X. We show also that a family of slices with the required properties exists for any action of a countable group on a locally compact and locally connected metric space.

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