Tietze extension theorem


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Tietze extension theorem

[′tēt·sə ik′sten·chən ‚thir·əm]
(mathematics)
A topological space X is normal if and only if every continuous function of a closed subset to [0,1] has a continuous extension to all of X.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The concept of L-fuzzy normal spaces and Tietze extension theorem was introduced and studied in [10].