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A simple proof of Zahorski’s description of non-differentiability sets of Lipschitz functions
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Fowler, Thomas and Preiss, David (2008) A simple proof of Zahorski’s description of non-differentiability sets of Lipschitz functions. Real Analysis Exchange, Vol.34 (No.1). pp. 127-138. ISSN 0147-1937.
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Official URL: http://msupress.msu.edu/journals/raex/
Abstract
We provide a simplification of Zahorski's argument showing that for every Lebesgue null Gδσ subset G of the line there is a Lipschitz function that is non-differentiable precisely at the points of G.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Real Analysis Exchange | ||||
Publisher: | Michigan State University Press | ||||
ISSN: | 0147-1937 | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.34 | ||||
Number: | No.1 | ||||
Page Range: | pp. 127-138 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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