“Cocompact group action”的意思、由来-开放百科全书

词条

Cocompact group action

释义

References

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. It is sometimes referred to as mpact, a tongue-in-cheek reference to dual notions where prefixing with "co-" twice would "cancel out".

References

{{cite book | title=Handbook of Geometric Topology | first1=Robert J. | last1=Daverman | first2=R. B. | last2=Sher | publisher=Elsevier | year=2002 | isbn=0444824324 | page=272 }}

1 : Group actions (mathematics)

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