Differentiability inside sets with upper Minkowski dimension one
Functional Analysis
2016-01-05 v1
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 of upper Minkowski dimension one such that every Lipschitz function defined on the whole space is differentiable inside . Such sets are constructed explicitly.
Cite
@article{arxiv.1305.3154,
title = {Differentiability inside sets with upper Minkowski dimension one},
author = {Michael Dymond and Olga Maleva},
journal= {arXiv preprint arXiv:1305.3154},
year = {2016}
}
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23 pages