Nagata-Smirnov Metrization Theorem
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Contents
Theorem
Let $T = \left({S, \tau}\right)$ be a topological space.
Then $T$ is metrizable if and only if $T$ is regular and has a basis that is countably locally finite.
Proof
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Source of Name
This entry was named for Jun-iti Nagata and Yurii Mikhailovich Smirnov.
Sources
- 1975: James R. Munkres: Topology
