Nagata-Smirnov metrization theorem

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

• Bing metrization theorem

References

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