Compactly generated space: Difference between revisions
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* [[Compact space]] | * [[Compact space]] | ||
* [[CW space]] | * [[CW-space]] | ||
==Metaproperties== | ==Metaproperties== | ||
Revision as of 20:23, 10 November 2007
This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces
This is a variation of compactness. View other variations of compactness
Definition
A topological space is said to be compactly generated if the topology on it is generated by a collection of compact subsets. In other words, a set in the topological space is open if and only if its intersection with each of the compact subsets is open, in the subspace topology.