Cocompact group action

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In mathematics, an action of a group G on a topological space X is cocompact if the quotient space X/G is a compact space. If X is locally compact, then an equivalent conditions is that there is a compact subset K of X such that the image of K under the action of G covers X.


  • Daverman, Robert J.; Sher, R. B. (2002). Handbook of Geometric Topology. Elsevier. p. 272. ISBN 0444824324.