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Necessary Conditions for Differentiability of Distance Functions

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Abstract

Necessary conditions for the Gâteaux differentiability of the distance function to a set are considered. A series of characterizing results is obtained.

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  1. Institute of Mathematics and Mechanics, The Ural Division of the Russian Academy of Sciences, Ekaterinburg

    V. S. Balaganskii

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  1. V. S. Balaganskii
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Balaganskii, V.S. Necessary Conditions for Differentiability of Distance Functions. Mathematical Notes 72, 752–756 (2002). https://doi.org/10.1023/A:1021477510453

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