Urysohn Metrization Theorem

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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

References

  1. Munkres, James R. Topology, 2015. pg. 187.