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.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Mathematical Society
2015
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| Subjects: | |
| Online Access: | https://eprints.nottingham.ac.uk/32265/ |
| _version_ | 1848794372757258240 |
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| author | Craig, J. Feinstein, Joel Patrick, P. |
| author_facet | Craig, J. Feinstein, Joel Patrick, P. |
| author_sort | Craig, J. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:15:09Z |
| format | Article |
| id | nottingham-32265 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T19:15:09Z |
| publishDate | 2015 |
| publisher | American Mathematical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-322652020-05-08T10:30:24Z https://eprints.nottingham.ac.uk/32265/ Removability of exceptional sets for differentiable and Lipschitz functions Craig, J. Feinstein, Joel Patrick, P. 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. American Mathematical Society 2015-10-30 Article PeerReviewed application/pdf en https://eprints.nottingham.ac.uk/32265/1/Removability.pdf 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 Removability Differentiable Lipschitz http://www.ams.org/books/conm/645/ doi:10.1090/conm/645 doi:10.1090/conm/645 |
| spellingShingle | Removability Differentiable Lipschitz Craig, J. Feinstein, Joel Patrick, P. Removability of exceptional sets for differentiable and Lipschitz functions |
| title | Removability of exceptional sets for differentiable and Lipschitz functions |
| title_full | Removability of exceptional sets for differentiable and Lipschitz functions |
| title_fullStr | Removability of exceptional sets for differentiable and Lipschitz functions |
| title_full_unstemmed | Removability of exceptional sets for differentiable and Lipschitz functions |
| title_short | Removability of exceptional sets for differentiable and Lipschitz functions |
| title_sort | removability of exceptional sets for differentiable and lipschitz functions |
| topic | Removability Differentiable Lipschitz |
| url | https://eprints.nottingham.ac.uk/32265/ https://eprints.nottingham.ac.uk/32265/ https://eprints.nottingham.ac.uk/32265/ |