Difference between revisions of "Nagata-Smirnov Metrization Theorem"
Latest revision as of 06:48, 1 December 2018
The Nagata-Smirnov Metrization Theorem gives a full characterization of metrizable topological spaces. Essentially, the Nagata-Smirnov Metrization Theorem states that the regularity of a space $X$ and the existence of a countably locally finite basis for $X$ are equivalent to metrizability of $X$.
- Leeb, William. July, 2007. The Nagata-Smirnov Metriztion Theorem - University of Chicago Mathematics
- Munkres, James R. Topology, 2015. pg. 248-249.