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.
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[[Category:Mathematics]]
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[[Category:Topology]]

Revision as of 16:52, April 1, 2007

A complete metric space is a metric space in which every Cauchy sequence converges. Every metric space has a completion.