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arXiv · 1004.2151

A compact universal differentiability set with Hausdorff dimension one

Michael Doré·Olga Maleva
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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.

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Michael Doré, Olga Maleva. 2010-04-13. A compact universal differentiability set with Hausdorff dimension one. https://arxiv.org/abs/1004.2151

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