Completely metrizable space

From Topospaces
Revision as of 22:22, 27 October 2007 by Vipul (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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 if it arises as the topological space of a complete metric space, viz a metric space in which every Cauchy sequence converges.

Relation with other properties

Weaker properties