The set of regular values (in the sense of Clarke) of a Lipschitz map. A sufficient condition for rectifiability of class $C^3$
Volume 117 / 2016
Annales Polonici Mathematici 117 (2016), 215-230
MSC: Primary 26A16, 49Q15, 53Axx, 54C20; Secondary 28A75, 28A78, 49Q20.
DOI: 10.4064/ap3923-9-2016
Published online: 3 October 2016
Abstract
Let $n, N$ be positive integers such that $n \lt N$. We prove a result about the rectifiability of class $C^3$ of the set of regular values (in the sense of Clarke) of a Lipschitz map $\varphi : {\mathbb {R}}^n\to {\mathbb {R}}^N$.
