A compact universal differentiability set with Hausdorff dimension one

作者:Dore Michael*; Maleva Olga
来源:Israel Journal of Mathematics, 2012, 191(2): 889-900.
DOI:10.1007/s11856-012-0014-3

摘要

We give a short proof that any non-zero Euclidean space has a compact subset of Hausdorff dimension one that contains a differentiability point of every real-valued Lipschitz function defined on the space.

  • 出版日期2012-10