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arXiv · 1406.7850

Isometrisable group actions

Itaï Ben Yaacov·Julien Melleray
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Abstract

Given a separable metrisable space X, and a group G of homeomorphisms of X, we introduce a topological property of the action of G on X which is equivalent to the existence of a G-invariant compatible metric on X. This extends a result of Marjanovic obtained under the additional assumption that X is locally compact.

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Itaï Ben Yaacov, Julien Melleray. 2015-11-27. Isometrisable group actions. https://arxiv.org/abs/1406.7850

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