Kirszbraun’s extension theorem fails for Almgren’s multiple valued functions |
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| Authors: | Philippe Logaritsch Andrea Marchese |
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| Institution: | 1. Max-Planck Institute for Mathematics in the Sciences, Inselstr. 22, 04103, Leipzig, Germany
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| 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. |
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