Typical Lipschitz mappings are typically non-differentiable
Functional Analysis
2025-04-11 v2
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.
Keywords
Cite
@article{arxiv.2111.09644,
title = {Typical Lipschitz mappings are typically non-differentiable},
author = {Michael Dymond and Olga Maleva},
journal= {arXiv preprint arXiv:2111.09644},
year = {2025}
}
Comments
This paper is superseded by our preprint arXiv:2504.04117 [math.FA]. Results from the present paper are incorporated in Sections 2 and 3 of arXiv:2504.04117