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Urysohn metrization theorem (Theorem)

Let $X$ be a topological space which is regular and second countable and in which singleton sets are closed. Then $X$ is metrizable.



"Urysohn metrization theorem" is owned by Evandar.
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See Also: second countable, metrizable

Keywords:  topology
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Cross-references: metrizable, closed, singleton, second countable, regular, topological space

This is version 3 of Urysohn metrization theorem, born on 2002-01-22, modified 2002-05-25.
Object id is 1531, canonical name is UrysohnMetrizationTheorem.
Accessed 3227 times total.

Classification:
AMS MSC: 54E35 (General topology :: Spaces with richer structures :: Metric spaces, metrizability)
Pending Errata and Addenda
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