Removability of exceptional sets for differentiable and Lipschitz functions

Craig, J.; Feinstein, Joel; Patrick, P.

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.

Citation

Craig, J., Feinstein, J., & Patrick, P. (2015). Removability of exceptional sets for differentiable and Lipschitz functions. 00 Journal not listed, 645, https://doi.org/10.1090/conm/645

• Journal Article Type: Article
• Publication Date: Oct 30, 2015
• Deposit Date: Mar 14, 2016
• Publicly Available Date: Mar 14, 2016
• Journal: Contemporary Mathematics
• Electronic ISSN: 0271-4132
• Peer Reviewed: Peer Reviewed
• Volume: 645
• DOI: https://doi.org/10.1090/conm/645
• Keywords: Removability, Differentiable, Lipschitz
• Public URL: https://nottingham-repository.worktribe.com/output/762878
• Publisher URL: http://www.ams.org/books/conm/645/
• Additional Information: First published in Contemporary Mathematics in volume 645, 2015, published by the American Mathematical Society
• Contract Date: Mar 14, 2016