Difference between revisions of "Sequentially compact"
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| − | A [[topological space]] X is called '''sequentially compact''' if every [[sequence]] in X has a convergent subsequence. A [[metric space]] | + | A [[topological space]] X is called '''sequentially compact''' if every [[sequence]] in X has a convergent subsequence. A [[metric space]] is sequentially compact if and only if it's [[compact]]. |
| − | [[Category: | + | [[Category:Topology]] |
Latest revision as of 16:53, April 1, 2007
A topological space X is called sequentially compact if every sequence in X has a convergent subsequence. A metric space is sequentially compact if and only if it's compact.
