Realcompact space: Difference between revisions
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A [[topological space]] is termed '''realcompact''' if it can be realized as a [[closed subset]] of some cardinal power of the [[real line]]. | A [[topological space]] is termed '''realcompact''' if it can be realized as a [[closed subset]] of some cardinal power of the [[real line]]. | ||
==Relation with other properties== | |||
===Stronger properties=== | |||
* [[Compact space]] | |||
Latest revision as of 19:57, 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
This is a variation of compactness. View other variations of compactness
Definition
Symbol-free definition
A topological space is termed realcompact if it can be realized as a closed subset of some cardinal power of the real line.