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Finite cupping sets

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


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
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Additional Information: © 2004 Springer
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 06 Aug 2013 11:08
Last Modified: 16 May 2024 00:17

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