Barmpalias, George and Lewis-Pye, Andrew (2012) Measure and cupping in the Turing degrees. Proceedings of the American Mathematical Society, 140 (10). pp. 3607-3622. ISSN 0002-9939
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Identification Number: 10.1090/S0002-9939-2012-11183-9
Abstract
We answer a question of Jockusch by showing that the measure of the Turing degrees that satisfy the cupping property is 0. In fact, every 2-random degree has a strong minimal cover and so fails to satisfy the cupping property.
| Item Type: | Article |
|---|---|
| Official URL: | http://www.ams.org/publications/journals/journalsf... |
| Additional Information: | © 2012 American Mathematical Society |
| Divisions: | Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 06 Aug 2013 11:31 |
| Last Modified: | 11 Sep 2025 08:23 |
| URI: | http://eprints.lse.ac.uk/id/eprint/51446 |
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