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- Limit_point_compact abstract "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.".
- Limit_point_compact wikiPageID "9861462".
- Limit_point_compact wikiPageLength "3178".
- Limit_point_compact wikiPageOutDegree "28".
- Limit_point_compact wikiPageRevisionID "674712923".
- Limit_point_compact wikiPageWikiLink Bolzano–Weierstrass_theorem.
- Limit_point_compact wikiPageWikiLink Bounded_function.
- Limit_point_compact wikiPageWikiLink Category:Compactness_(mathematics).
- Limit_point_compact wikiPageWikiLink Category:Properties_of_topological_spaces.
- Limit_point_compact wikiPageWikiLink Cocountable_topology.
- Limit_point_compact wikiPageWikiLink Compact_space.
- Limit_point_compact wikiPageWikiLink Continuous_function.
- Limit_point_compact wikiPageWikiLink Countably_compact_space.
- Limit_point_compact wikiPageWikiLink Discrete_space.
- Limit_point_compact wikiPageWikiLink James_Munkres.
- Limit_point_compact wikiPageWikiLink Limit_point.
- Limit_point_compact wikiPageWikiLink Mathematics.
- Limit_point_compact wikiPageWikiLink Metric_space.
- Limit_point_compact wikiPageWikiLink Prentice_Hall.
- Limit_point_compact wikiPageWikiLink Sequentially_compact_space.
- Limit_point_compact wikiPageWikiLink T1_space.
- Limit_point_compact wikiPageWikiLink Topological_space.
- Limit_point_compact wikiPageWikiLink Trivial_topology.
- Limit_point_compact wikiPageWikiLink Vacuous_truth.
- Limit_point_compact wikiPageWikiLinkText "Limit point compact".
- Limit_point_compact wikiPageWikiLinkText "limit point compact".
- Limit_point_compact wikiPageWikiLinkText "weakly countably compact".
- Limit_point_compact id "1234".
- Limit_point_compact title "Weakly countably compact".
- Limit_point_compact wikiPageUsesTemplate Template:Cite_book.
- Limit_point_compact wikiPageUsesTemplate Template:PlanetMath_attribution.
- Limit_point_compact wikiPageUsesTemplate Template:Reflist.
- Limit_point_compact wikiPageUsesTemplate Template:Topology-stub.
- Limit_point_compact subject Category:Compactness_(mathematics).
- Limit_point_compact subject Category:Properties_of_topological_spaces.
- Limit_point_compact type Property.
- Limit_point_compact type Source.
- Limit_point_compact type Space.
- Limit_point_compact comment "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.".
- Limit_point_compact label "Limit point compact".
- Limit_point_compact sameAs Q6549451.
- Limit_point_compact sameAs 극한점_콤팩트_공간.
- Limit_point_compact sameAs m.02pv4_r.
- Limit_point_compact sameAs Q6549451.
- Limit_point_compact wasDerivedFrom Limit_point_compact?oldid=674712923.
- Limit_point_compact isPrimaryTopicOf Limit_point_compact.