Isometrisable group actions
Logic
2015-11-30 v2 Dynamical Systems
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.
Cite
@article{arxiv.1406.7850,
title = {Isometrisable group actions},
author = {Itaï Ben Yaacov and Julien Melleray},
journal= {arXiv preprint arXiv:1406.7850},
year = {2015}
}