Difference between revisions of "Compactness"

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Revision as of 14:23, 13 February 2015

Definition

A topological space is compact if every open cover (often denoted [math]\mathcal{A}[/math]) of [math]X[/math] contains a finite sub-collection that also covers [math]X[/math]

Lemma for a set being compact


TODO: Note: details on Munkres p164