# Completeness (in topology)

From Encyclopedia of Mathematics

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: http://encyclopediaofmath.org/index.php?title=Completeness_(in_topology)&oldid=18523

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