Typical Lipschitz mappings are typically non-differentiable

Michael Dymond; Olga Maleva

Typical Lipschitz mappings are typically non-differentiable

Mathematics

Research output: Working paper/Preprint › Preprint

Abstract

We prove that a typical Lipschitz mapping between any two Banach spaces is non-differentiable at typical points of any given subset of its domain in the most extreme form. This is a new result even for Lipschitz mappings between Euclidean spaces.

Original language	English
Publisher	arXiv
Number of pages	16
Publication status	Published - 19 Nov 2021

Keywords

Typical Lipschitz differentiability

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title = "Typical Lipschitz mappings are typically non-differentiable",

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Typical Lipschitz mappings are typically non-differentiable

Abstract

Keywords

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