Full non-differentiability sets of typical Lipschitz functions

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.

References in corpus (1)

• A compact null set containing a differentiability point of every Lipschitz function

Cited by in corpus (1)

• Typical Lipschitz mappings are typically non-differentiable