A complete metric is a metric in which every Cauchy sequence is convergent. A topological space with a complete metric is called a complete metric space.
Complete Metric
See also
Cauchy Sequence, Complete Metric Space, Inner Product SpaceThis entry contributed by John Renze
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Renze, John. "Complete Metric." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/CompleteMetric.html