Cocompact group action

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 condition is that there is a compact subset K of X such that the image of K under the action of G covers X.

References

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

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.