Removability of exceptional sets for differentiable and Lipschitz functions

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.

Bibliographic Details
Main Authors: Craig, J., Feinstein, Joel, Patrick, P.
Format: Article
Language:English
Published: American Mathematical Society 2015
Subjects:
Online Access:https://eprints.nottingham.ac.uk/32265/