Hereditarily compact space: Difference between revisions
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* [[Compact space]] | * [[Compact space]] | ||
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Latest revision as of 19:45, 11 May 2008
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
Definition
Symbol-free definition
A topological space is termed hereditarily compact if every subset of it is compact in the subspace topology. Note that a hereditarily compact Hausdorff space must be discrete, so hereditarily compact spaces are not very common.