Difference between revisions of "Completeness (in topology)"
From Encyclopedia of Mathematics
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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|Complete space]].) | + | 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|Complete space]] and [[Cauchy criteria]].) |
Revision as of 18:28, 8 December 2013
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 and Cauchy criteria.)
How to Cite This Entry:
Completeness (in topology). Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Completeness_(in_topology)&oldid=30856
Completeness (in topology). Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Completeness_(in_topology)&oldid=30856
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