What is Metrization theorem?, Explain Metrization theorem, Define Metrization theorem

~~~ Metrization theorem ~~~

Title: What is Metrization theorem?, Explain Metrization theorem, Define Metrization theorem
Created on: 2018-08-30

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Description: 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 {\displaystyle } is said to be metrizable if there is a metric d : X × X → [ 0 , ∞ ) {\displaystyle d\colon X\times X\to [0,\infty )} such that the topology induced by d is T {\displaystyle {\mathcal {T}}} . Metrization theorems are theorems that give sufficient conditions for a topological space to be metrizable.

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