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Extension of a metric defined on a closed subset

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0 If $X$ is any metrizable space, $A$ is a closed subset of $X$. Let $d$ be a compatible metric on $A$ then $d$ can be extended to a compatible metric on $X$. real-analysis general-topology metric-spaces share | cite | improve this question edited Jul 7 '13 at 11:30 Hagen von Eitzen 276k 21 269 496 asked Jul 7 '13 at 11:15 akansha akansha 790 5 12 ...