A compact universal differentiability set with Hausdorff dimension one
Functional Analysis
2010-04-14 v1 Classical Analysis and ODEs
Abstract
We give a short proof that any non-zero Euclidean space has a compact subset of Hausdorff dimension one that contains a differentiability point of every real-valued Lipschitz function defined on the space.
Cite
@article{arxiv.1004.2151,
title = {A compact universal differentiability set with Hausdorff dimension one},
author = {Michael Doré and Olga Maleva},
journal= {arXiv preprint arXiv:1004.2151},
year = {2010}
}
Comments
11 pages