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A compact null set containing a differentiability point of every Lipschitz function

We prove that in a Euclidean space of dimension at least two, there exists a compact set of Lebesgue measure zero such that any real-valued Lipschitz function defined on the space is differentiable at some point in the set. Such a set is constructed explicitly.

preprint2011arXivOpen access
Michael DoréOlga Maleva
math.FAmath.CA
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Michael DoréOlga Maleva

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