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Removability of exceptional sets for differentiable and Lipschitz functions

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

Authors

J. Craig

P. Patrick



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 http://eprints.nottingham.ac.uk/id/eprint/32265
Publisher URL http://www.ams.org/books/conm/645/
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf
Additional Information First published in Contemporary Mathematics in volume 645, 2015, published by the American Mathematical Society

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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