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

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 |
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Official URL: | http://www.ams.org/publications/journals/journalsf... |

Additional Information: | © 2007 American Mathematical Society |

Divisions: | Mathematics |

Subjects: | Q Science > QA Mathematics |

Sets: | Departments > Mathematics |

Date Deposited: | 06 Aug 2013 11:17 |

Last Modified: | 20 Mar 2021 01:51 |

URI: | http://eprints.lse.ac.uk/id/eprint/51427 |

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