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Difference between revisions of "Complete metric space"

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A metric space in which each fundamental, or Cauchy, sequence converges. A complete metric space is a particular case of a [[Complete uniform space|complete uniform space]].
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A metric space in which each [[Cauchy criteria|Cauchy sequence]] converges. A complete metric space is a particular case of a [[Complete uniform space|complete uniform space]].

Revision as of 21:45, 8 December 2013


A metric space in which each Cauchy sequence converges. A complete metric space is a particular case of a complete uniform space.

How to Cite This Entry:
Complete metric space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Complete_metric_space&oldid=13111
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article