Completeness (in topology)

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A property of a space requiring that sequences, directions or families of sets, satisfying the Cauchy condition or generalizations of it converge. (See Complete space.)

How to Cite This Entry:
Completeness (in topology). Encyclopedia of Mathematics. URL:
This article was adapted from an original article by A.V. Arkhangel'skii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article