A Compact Null Set Containing a Differentiability Point of Every Lipschitz Function

نویسنده

  • MICHAEL DORÉ
چکیده

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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تاریخ انتشار 2008