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Differentiability inside sets with upper Minkowski dimension one
Published 14 May 2013 in math.FA | (1305.3154v1)
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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