Completeness (in topology)
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This category corresponds roughly to MSC {{{id}}} {{{title}}}; see {{{id}}} at MathSciNet and {{{id}}} at zbMATH.
A property of a space requiring that sequences, directions or families of sets, satisfying the Cauchy condition (or appropriate generalizations of it, see Cauchy filter) converge. (See also Complete metric space, Complete uniform space, Complete space, Completion, and Cauchy criteria.)
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