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Measure and cupping in the Turing degrees

Barmpalias, George and Lewis, Andrew E. M. (2012) Measure and cupping in the Turing degrees. Proceedings of the American Mathematical Society, 140 (10). pp. 3607-3622. ISSN 0002-9939

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Identification Number: 10.1090/S0002-9939-2012-11183-9

Abstract

We answer a question of Jockusch by showing that the measure of the Turing degrees that satisfy the cupping property is 0. In fact, every 2-random degree has a strong minimal cover and so fails to satisfy the cupping property.

Item Type: Article
Official URL: http://www.ams.org/publications/journals/journalsf...
Additional Information: © 2012 American Mathematical Society
Subjects: Q Science > QA Mathematics
Sets: Departments > Mathematics
Date Deposited: 06 Aug 2013 11:31
Last Modified: 24 Feb 2016 09:42
URI: http://eprints.lse.ac.uk/id/eprint/51446

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