Difference between revisions of "Urysohn Metrization Theorem"
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Latest revision as of 05:05, 1 December 2018
If a topological space $X$ satisfies a certain countability axiom (the second) and a certain separation axiom (the regularity axiom), then $X$ can be imbedded in a metric space and is thus metrizable.^{[1]}
Further Reading
External Links
 nLab  Urysohn Metrization Theorem
 Urysohn's Metrization Theorem  University of Toronto Mathematics (pdf)
 University of Arizona Mathematics (pdf)
References
 ↑ Munkres, James R. Topology, 2015. pg. 187.