Lewis-Pye, Andrew
(2004)
*Finite cupping sets.*
Archive for Mathematical Logic, 43 (7).
pp. 845-858.
ISSN 0933-5846

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 |
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Official URL: | http://link.springer.com/journal/153 |

Additional Information: | © 2004 Springer |

Divisions: | Mathematics |

Subjects: | Q Science > QA Mathematics |

Sets: | Departments > Mathematics |

Date Deposited: | 06 Aug 2013 11:08 |

Last Modified: | 20 Dec 2019 02:12 |

URI: | http://eprints.lse.ac.uk/id/eprint/51416 |

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