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Countably compact spaces: Difference between revisions
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(Created page with "== Definition == In topological theory, a branch of mathematics, a countably compact space is a type of topological space with certain compact-like properties. Specifically, a topological space is said to be countably compact if every countable open cover has a finite subcover. This is a weaker condition than compactness, which requires that every open cover, regardless of its cardinality, has a finite subcover. == Properties == Countably compact spaces...") |
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* [[Lindelöf space]] | * [[Lindelöf space]] | ||
[[Image:Detail-146835.jpg|thumb|center|A close-up of a mathematical diagram illustrating the concept of countably compact spaces.]] | |||
[[Category:Topology]] | [[Category:Topology]] | ||
[[Category:Mathematical concepts]] | [[Category:Mathematical concepts]] | ||
[[Category:Compactness (mathematics)]] | [[Category:Compactness (mathematics)]] | ||