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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 X 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
Last updated: 08-22-2005 19:48:18
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details