metrizable

A topological space $(X,𝒯)$ is said to be metrizable if there is a metric $d:X\to [0,\mathrm{\infty })$ 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