### A Simple Proof of Zahorski’s Description of Non-Differentiability Sets of Lipschitz Functions

Thomas Fowler and David Preiss
Source: Real Anal. Exchange Volume 34, Number 1 (2008), 127-138.

#### Abstract

We provide a simplification of Zahorski's argument showing that for every Lebesgue null $G_{\delta\sigma}$ subset $G$ of the line there is a Lipschitz function that is non-differentiable precisely at the points of $G$.

First Page:
Primary Subjects: 26A27
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Permanent link to this document: http://projecteuclid.org/euclid.rae/1242738925
Mathematical Reviews number (MathSciNet): MR2527127
Zentralblatt MATH identifier: 1179.26010

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Digital Object Identifier: doi:10.2307/2313750
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