A compact universal differentiability set with Hausdorff dimension one

Details A compact universal differentiability set with Hausdorff dimension one A compact universal differentiability set with Hausdorff dimension one

2010-04-13

arxiv.org/abs/1004.2151v1

Mathematics

Functional Analysis

11 pages

Scientific paper

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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