Lewis-Pye, Andrew (2004) Finite cupping sets. Archive for Mathematical Logic, 43 (7). pp. 845-858. ISSN 0933-5846
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Identification Number: 10.1007/s00153-004-0215-5
Abstract
We show that given any (Turing) degree 0<c≤0’ and any uniformly Δ2 sequence of degrees b 0 ,b 1 ,b 2 ,.. such that ∀i(b i ≱ c), there exists 0<a<0’ such that for all i≥0, a∨b i ≱ c. If c is c.e. and b 0 ,b 1 ,b 2 ,.. are uniformly (strictly) below c then there exists such an a below c.
| Item Type: | Article |
|---|---|
| Official URL: | http://link.springer.com/journal/153 |
| Additional Information: | © 2004 Springer |
| Divisions: | Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 06 Aug 2013 11:08 |
| Last Modified: | 13 Sep 2024 21:51 |
| URI: | http://eprints.lse.ac.uk/id/eprint/51416 |
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