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arxiv: 0804.4576 · v3 · pith:EFPVKUUYnew · submitted 2008-04-29 · 🧮 math.FA · math.CA

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

classification 🧮 math.FA math.CA
keywords compactfunctionlipschitzpointspaceconstructedcontainingdefined
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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.

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