completely metrizable


Let X be a topological spaceMathworldPlanetmath. X is said to be completely metrizable if there is a metric d on X under which X is completePlanetmathPlanetmathPlanetmath.

In particular, a completely metrizable space is metrizable.

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completely metrizable

Title completely metrizable
Canonical name CompletelyMetrizable
Date of creation 2013-03-22 12:13:56
Last modified on 2013-03-22 12:13:56
Owner Evandar (27)
Last modified by Evandar (27)
Numerical id 5
Author Evandar (27)
Entry type Definition
Classification msc 54E35
Synonym complete metrizability
Synonym topologically complete
Synonym topological completeness