Metrizable space
Topological space that is homeomorphic to a metric space / From Wikipedia, the free encyclopedia
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In topology and related areas of mathematics, a metrizable space is a topological space that is homeomorphic to a metric space. That is, a topological space is said to be metrizable if there is a metric such that the topology induced by is [1][2] Metrization theorems are theorems that give sufficient conditions for a topological space to be metrizable.