54-00-Metrizable.tex

\documentclass[12pt]{article}
\usepackage{pmmeta}
\pmcanonicalname{Metrizable}
\pmcreated{2013-03-22 12:12:44}
\pmmodified{2013-03-22 12:12:44}
\pmowner{mathcam}{2727}
\pmmodifier{mathcam}{2727}
\pmtitle{metrizable}
\pmrecord{6}{31538}
\pmprivacy{1}
\pmauthor{mathcam}{2727}
\pmtype{Definition}
\pmcomment{trigger rebuild}
\pmclassification{msc}{54-00}
\pmclassification{msc}{55-00}
\pmclassification{msc}{22-00}
\pmsynonym{metrization}{Metrizable}
\pmsynonym{metrizable space}{Metrizable}
%\pmkeywords{topology}
\pmrelated{Metric}
\pmrelated{UrysohnMetrizationTheorem}
\pmrelated{CategoryOfPolishGroups}

\endmetadata

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\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}

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%\usepackage{psfrag}
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\begin{document}
A topological space $(X,\mathcal{T})$ is said to be \emph{metrizable} if there is a metric $d\colon X\to [0,\infty)$ such that the topology induced by $d$ is $\mathcal{T}$.
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\end{document}