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arXiv · 1305.3154

Differentiability inside sets with upper Minkowski dimension one

Michael Dymond·Olga Maleva
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Abstract

We show that every finite-dimensional Euclidean space contains compact universal differentiability sets of upper Minkowski dimension one. In other words, there are compact sets $S$ of upper Minkowski dimension one such that every Lipschitz function defined on the whole space is differentiable inside $S$. Such sets are constructed explicitly.

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Michael Dymond, Olga Maleva. 2013-05-14. Differentiability inside sets with upper Minkowski dimension one. https://arxiv.org/abs/1305.3154

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