complete metric space
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Encyclopedic overview
In mathematical analysis, a metric space M is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M.
Intuitively, a space is complete if there are no "points missing" from it (inside or at the boundary). For instance, the set of rational numbers is not complete, because e.g.
Excerpted from Wikipedia’s “complete metric space” article, available under the CC BY-SA 4.0 licence.