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MiS Preprint
42/2014
Kirszbraun's extension theorem fails for Almgren's multiple valued functions
Philippe Logaritsch and Andrea Marchese
Abstract
We prove that in general it is not possible to extend a Lipschitz multiple valued function without increasing the Lipschitz constant, i.e. we show that there is no analog of Kirszbraun's extension theorem for Almgren's multiple valued functions
