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 Nagata-Smirnov metrization theorem - Definition 

The Nagata-Smirnov metrization theorem in topology characterizes when a topological space is metrizable. The theorem states that a topological space <math>X<math> is metrizable if and only if it is regular and has a countably locally finite basis.

See also

References

Topology, James R. Munkres, Prentice Hall, 1975. ISBN 0-13-925495-1


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