locally compact space

locally compact space
a topological space in which each point has a neighborhood that is compact.

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Universalium. 2010.

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  • Σ-compact space — In mathematics, a topological space is said to be sigma; compact if it is the union of countably many compact subspaces. A space is said to be sigma; locally compact if it is both sigma; compact and locally compact.Properties and Examples* Every… …   Wikipedia

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  • Locally compact group — In mathematics, a locally compact group is a topological group G which is locally compact as a topological space. Locally compact groups are important because they have a natural measure called the Haar measure. This allows one to define… …   Wikipedia

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  • locally compact — adjective (of a topological space) That for every point of the given topological space, there is a neighborhood of that point whose closure is compact …   Wiktionary

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