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Kirszbraun theorem

In mathematics, the Kirzbraun theorem states that if U is a subset of Euclidean space and is a Lipschitz continuous map, then there always exists a Lipschitz continuous map which extends f and has the same Lipschitz constant as f.

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Lipschitz-continuous | Lipschitz continuity | Lipschitz continuous | Lipschitz maps

 

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Kirszbraun theorem".

 

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