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countably compact
A topological space is said to be countably compact if every countable open cover has a finite subcover.
Countable compactness is equivalent to limit point compactness if is spaces, and is equivalent to compactness if is a metric space.
Keywords:
topology
Related:
Compact, Lindelof, LimitPointCompact
Synonym:
countable compactness
Type of Math Object:
Definition
Major Section:
Reference
Mathematics Subject Classification
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)- Forums
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new question: Sorry to steal a few minutes of your time for this question, but i honestly don't know what else to do. by Whrazithar
new question: equality of the determinants of submatrices of an orthogonal matrix by ismayli
Jun 11
new correction: Typo by suitangi
Jun 2
new question: Creating another set with same cardinality. by hkkass
Jun 1
new image: ProblemOneRevised by unlord
new Education: Chapter II by rspuzio
May 31
new collection: The Calculus by Davis and Brenke by rspuzio
new question: Proofs by weixifan
new question: Summation Integration Question by trevor.nickle
May 27
new correction: typo+finite measure hypothesis by Filipe


