Completely metrizable space: Difference between revisions
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==Relation with other properties== | ==Relation with other properties== | ||
===Stronger properties=== | |||
* [[Compact space|compact]] [[metrizable space]] | |||
===Weaker properties=== | ===Weaker properties=== | ||
* [[Baire space]] | * [[Baire space]] | ||
Revision as of 22:04, 1 December 2007
This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces
Definition
A topological space is said to be completely metrizable (sometimes, topologically complete) if it arises as the topological space of a complete metric space, viz a metric space in which every Cauchy sequence converges.