metrizableMetrizable2002-01-22 13:02:572004-11-13 16:51:26Definitiontopology% this is the default PlanetMath preamble. as your knowledge
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% define commands hereA 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 $\mathcal{T}$.