Difference between revisions of "Heine-Borel Theorem"
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(New page: The '''Heine-Borel theorem''' states: <blockquote> A subspace of ''R<sup>n</sup>'' (with the usual topology) is compact if and only if it is closed and bounded. </blockquote> [[c...) |
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The '''Heine-Borel theorem''' states: | The '''Heine-Borel theorem''' states: | ||
<blockquote> | <blockquote> | ||
| − | A subspace of ''R<sup>n</sup>'' (with the usual topology) is compact if and only if it is [[closed]] and [[bounded]]. | + | A subspace of ''R<sup>n</sup>'' (with the usual topology) is compact if and only if it is [[closed set|closed]] and [[bounded]]. |
</blockquote> | </blockquote> | ||
| − | [[ | + | [[Category:Topology]] |