Difference between revisions of "Complete metric space"
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| − | A '''complete metric space''' is a [[metric space]] in which every [[Cauchy sequence]] converges. Every metric space has a completion. | + | A '''complete metric space''' is a [[metric space]] in which every [[Cauchy sequence]] converges. Every metric space has a completion. An every completion has a metric space. |
[[Category:Topology]] | [[Category:Topology]] | ||
Revision as of 13:03, February 25, 2009
Template:Stub A complete metric space is a metric space in which every Cauchy sequence converges. Every metric space has a completion. An every completion has a metric space.