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

作者：Dore Michael; Maleva Olga^*

来源：Mathematische Annalen, 2011, 351(3): 633-663.

DOI：10.1007/s00208-010-0613-4

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.

• 出版日期2011-11