Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Measure and cupping in the Turing degrees


Authors: George Barmpalias and Andrew E. M. Lewis
Journal: Proc. Amer. Math. Soc. 140 (2012), 3607-3622
MSC (2010): Primary 03D28; Secondary 03D10
Published electronically: February 6, 2012
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 03D28, 03D10

Retrieve articles in all journals with MSC (2010): 03D28, 03D10


Additional Information

George Barmpalias
Affiliation: Institute for Logic, Language and Computation, Universiteit van Amsterdam 1090 GE, P.O. Box 94242, The Netherlands
Email: barmpalias@gmail.com

Andrew E. M. Lewis
Affiliation: School of Mathematics, University of Leeds, LS2 9JT Leeds, United Kingdom
Email: andy@aemlewis.com

DOI: http://dx.doi.org/10.1090/S0002-9939-2012-11183-9
PII: S 0002-9939(2012)11183-9
Received by editor(s): January 24, 2011
Received by editor(s) in revised form: March 11, 2011, and April 5, 2011
Published electronically: February 6, 2012
Additional Notes: The second author was supported by a Royal Society University Research Fellowship.
Communicated by: Julia Knight
Article copyright: © Copyright 2012 American Mathematical Society