A topological spaceMathworldPlanetmath (X,𝒯) is said to be metrizable if there is a metric d:X[0,) such that the topology induced by d is 𝒯.

Title metrizable
Canonical name Metrizable
Date of creation 2013-03-22 12:12:44
Last modified on 2013-03-22 12:12:44
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 6
Author mathcam (2727)
Entry type Definition
Classification msc 54-00
Classification msc 55-00
Classification msc 22-00
Synonym metrization
Synonym metrizable space
Related topic Metric
Related topic UrysohnMetrizationTheorem
Related topic CategoryOfPolishGroups