# Urysohn metrization theorem

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

Title Urysohn metrization theorem UrysohnMetrizationTheorem 2013-03-22 12:12:36 2013-03-22 12:12:36 Evandar (27) Evandar (27) 7 Evandar (27) Theorem msc 54E35 SecondCountable Metrizable