Isometrisable group actions
classification
🧮 math.LO
math.DS
keywords
groupactionactionsadditionalassumptioncompactcompatibleequivalent
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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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