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A theorem for metrizability of a topological space

A theorem for metrizability of a topological space

Since Alexandroff and Urysohn's work various theorems concern- ing metrizability of a topological space were gotten by many mathe- maticians, but their methods of proofs are, in general, various and rather complicated.The purpose of this brief note is to prove a theorem for metrizability, which will contain a large number …