Lewis-Pye, Andrew (2007) A single minimal complement for the c.e. degrees. Transactions of the American Mathematical Society, 359 (12). pp. 5817-5865. ISSN 0002-9947
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Identification Number: 10.1090/S0002-9947-07-04331-0
Abstract
We show that there exists a minimal (Turing) degree b<0' such that for all non-zero c.e. degrees a, 0'=a V b. Since b is minimal this means that b complements all c.e. degrees other than 0 and 0'. Since every n-c.e. degree bounds a non-zero c.e. degree, b complements every n-c.e. degree other than 0 and 0'.
| Item Type: | Article |
|---|---|
| Official URL: | http://www.ams.org/publications/journals/journalsf... |
| Additional Information: | © 2007 American Mathematical Society |
| Divisions: | Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 06 Aug 2013 11:17 |
| Last Modified: | 11 Dec 2024 23:15 |
| URI: | http://eprints.lse.ac.uk/id/eprint/51427 |
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