paper

Typical Lipschitz mappings are typically non-differentiable

arXiv:2111.09644

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.

This paper is superseded by our preprint arXiv:2504.04117 [math.FA].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

Typical Lipschitz mappings are typically non-differentiable · wovepaper