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 $G$.
Primary Subjects: 26A27
Keywords: Lipschitz functions ; sets of non-differentiability
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.rae/1242738925
Mathematical Reviews number (MathSciNet):
MR2527127
Real Analysis Exchange