Isometrisable group actions
Year: 2014
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Yaacov, Itaï Ben, Melleray, Julien
Institution: Institut Camille Jordan
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Agence Nationale de la Recherche
Award: G8821832585
OpenAlex ID: W4300609897