Compact space
This is the current revision of Compact space as edited by Karajou (talk | contribs) at 00:57, May 16, 2012. This URL is a permanent link to this version of this page.
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.