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arXiv · 1906.08366

Full non-differentiability sets of typical Lipschitz functions

Andrea Merlo
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Abstract

In this paper we prove that the typical Lipschitz function has no directional derivative at any point of a Borel set $E$ if and only if $E$ is contained in a countable union of closed purely unrectifiable sets.

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Andrea Merlo. 2019-06-19. Full non-differentiability sets of typical Lipschitz functions. https://arxiv.org/abs/1906.08366

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