# Complete metric space

From Encyclopedia of Mathematics

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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