Regularity of R(X) does not pass to finite unions

Feinstein, J. F.

Abstract

We show that there are compact plane sets X, Y such that R(X) and R(Y) are regular but R(X ∪ Y) is not regular.

Citation

Feinstein, J. F. (2020). Regularity of R(X) does not pass to finite unions. Proceedings of the American Mathematical Society, 148(7), 2931-2936. https://doi.org/10.1090/proc/14944

• Journal Article Type: Article
• Acceptance Date: Nov 13, 2019
• Online Publication Date: Mar 18, 2020
• Publication Date: Mar 18, 2020
• Deposit Date: Nov 27, 2019
• Publicly Available Date: Mar 18, 2020
• Journal: Proceedings of the American Mathematical Society
• Print ISSN: 0002-9939
• Electronic ISSN: 1088-6826
• Publisher: American Mathematical Society
• Peer Reviewed: Peer Reviewed
• Volume: 148
• Issue: 7
• Pages: 2931-2936
• DOI: https://doi.org/10.1090/proc/14944
• Keywords: Applied Mathematics; General Mathematics
• Public URL: https://nottingham-repository.worktribe.com/output/3421891
• Publisher URL: https://www.ams.org/journals/proc/0000-000-00/S0002-9939-2020-14944-1/
• Additional Information: First published in Proceedings of the American Mathematical Society in v. 48, no. 7 2020, published by the American Mathematical Society, © 2020.