Limit point compact

id: limit-point-compact-278-2562240
title: Limit point compact
text: In mathematics, a topological space X is said to be limit point compact or weakly countably compact if every infinite subset of X has a limit point in X . This property generalizes a property of compact spaces. In a metric space, limit point compactness, compactness, and sequential compactness are all equivalent. For general topological spaces, however, these three notions of compactness are not equivalent.
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original url: https://en.wikipedia.org/wiki/Limit_point_compact
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date modified: 2023-01-11T23:39:57Z
main entity: {"identifier":"Q6549451","url":"https://www.wikidata.org/entity/Q6549451"}
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