Tietze Extension Theorem

(Theory)

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Theory
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What is Tietze extension theorem?

In topology, the Tietze extension theorem (also known as the Tietze–Urysohn–Brouwer extension theorem) states that continuous functions on a closed subset of a normal topological space can be extended to the entire space, preserving boundedness if necessary.

Technology Types

continuous mappingfunctionmathematical relationmathematical theorempropositionstatementtheoremtheorems in topologytheory

Synonyms

Tietze ExtensionTietze-Urysohn theoremTietze's extension theoremUrysohn-Brouwer lemma

Translations

Fortsetzungssatz von Tietze (de)Teorema di estensione di Tietze (it)Théorème de prolongement de Tietze (fr)Tietzes utvidgningssats (sv)Теорема Титце о продолжении (ru)Теорема Тітце про продовження (uk)티체 확장정리 (ko)

Tech Info


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