Heine-Borel Theorem

Revision as of 16:27, 15 February 2008 by JBL (talk | contribs)

The Heine-Borel theorem is an important theorem in elementary topology.

Statement

Let $X$ be any metric space and $E \subseteq X$ any subset. Then $E$ is compact if and only if $E$ is closed and bounded.


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