Difference between revisions of "Compact space"
From Conservapedia
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'''Important Theorem''': A [[metric space]] is compact if and only if it's [[complete (mathematics)|complete]] and [[totally bounded space|totally bounded]]. | '''Important Theorem''': A [[metric space]] is compact if and only if it's [[complete (mathematics)|complete]] and [[totally bounded space|totally bounded]]. | ||
[[Category:Topology]] | [[Category:Topology]] | ||
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Latest revision as of 00:57, May 16, 2012
A topological space X is said to be compact, if every open cover of X contains a finite subcover.
Important Theorem: A metric space is compact if and only if it's complete and totally bounded.
