# Smirnov Metrization Theorem

 It has been suggested that this page or section be merged into Nagata-Smirnov Metrization Theorem. (Discuss)

## Theorem

Let $T = \struct {S, \tau}$ be a topological space.

Then $T$ is metrizable if and only if it is paracompact and locally metrizable.

## Source of Name

This entry was named for Yurii Mikhailovich Smirnov.