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. | ||
[[Category:Topology]] | [[Category:Topology]] | ||
Revision as of 23:41, April 14, 2007
A complete metric space is a metric space in which every Cauchy sequence converges. Every metric space has a completion.