Difference between revisions of "Heine-Borel Theorem"
(New page: The '''Heine-Borel theorem''' is an important theorem in elementary Topology. ==Statement== Let <math>X</math> be a metric space Let <math>E\subset X</math> Then (1) <m...) |
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Revision as of 03:24, 15 February 2008
The Heine-Borel theorem is an important theorem in elementary Topology.
Statement
Let 
be a metric space
Let 
Then
(1) 
is closed and bounded if and only if
(2) is compact
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