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)

 

Joining up to the generalized high degrees


Authors: Philip Ellison and Andrew E. M. Lewis
Journal: Proc. Amer. Math. Soc. 138 (2010), 2949-2960
MSC (2000): Primary 03D28; Secondary 03D10
Published electronically: March 29, 2010
MathSciNet review: 2644906
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We show that every generalized high Turing degree is the join of two minimal degrees, thereby settling a conjecture of Posner's from the 70s.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 03D28, 03D10

Retrieve articles in all journals with MSC (2000): 03D28, 03D10


Additional Information

Philip Ellison
Affiliation: Department of Pure Mathematics, University of Leeds, Leeds, LS29JT, England
Email: phil.j.ellison@googlemail.com

Andrew E. M. Lewis
Affiliation: Department of Pure Mathematics, University of Leeds, Leeds, LS29JT, England
Email: andy@aemlewis.co.uk

DOI: http://dx.doi.org/10.1090/S0002-9939-10-10299-8
PII: S 0002-9939(10)10299-8
Received by editor(s): March 8, 2009
Received by editor(s) in revised form: September 20, 2009, and November 20, 2009
Published electronically: March 29, 2010
Additional Notes: The first author was supported by an EPSRC research studentship.
The second author was supported by a Royal Society University Research Fellowship
Communicated by: Julia Knight
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.