Removability of exceptional sets for differentiable and Lipschitz functions

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Craig, J., Feinstein, Joel and Patrick, P. (2015) Removability of exceptional sets for differentiable and Lipschitz functions. Contemporary Mathematics, 645 . pp. 63-67. ISSN 0271-4132

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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.

Item Type: Article
Additional Information: First published in Contemporary Mathematics in volume 645, 2015, published by the American Mathematical Society
Keywords: Removability, Differentiable, Lipschitz
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1090/conm/645
Depositing User: Eprints, Support
Date Deposited: 14 Mar 2016 11:16
Last Modified: 08 May 2020 10:30
URI: https://eprints.nottingham.ac.uk/id/eprint/32265

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