Removability of exceptional sets for differentiable and Lipschitz functions
arXiv:1412.6403
Abstract
We discuss removability problems concerning differentiability and pointwise Lipschitz conditions for functions of a real variable. We prove that, in each of the settings under consideration, a set is removable if and only if it has no perfect subsets.
5 pages, to appear in Contemp. Math., Proceedings of 7th conference on Function Spaces, Edwardsville Illinois, 2014