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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On a question of Slaman and Groszek
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by Andrew E. M. Lewis PDF
Proc. Amer. Math. Soc. 136 (2008), 3663-3668 Request permission

Abstract:

We answer a question of Slaman and Groszek by showing that any non-computable perfect tree computes one of its non-computable paths.
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Additional Information
  • Andrew E. M. Lewis
  • Affiliation: Department of Mathematics, University of Leeds, Leeds, LS2 9JT England
  • MR Author ID: 748032
  • Email: andy@aemlewis.co.uk
  • Received by editor(s): April 24, 2007
  • Received by editor(s) in revised form: August 31, 2007, and September 4, 2007
  • Published electronically: May 16, 2008
  • Additional Notes: The author was supported by the Marie-Curie Fellowship MEIF-CT-2005-023657 and partially supported by the NSFC Grand International Joint Project no. 60310213, New Directions in the Theory and Applications of Models of Computation.
  • Communicated by: Julia Knight
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 3663-3668
  • MSC (2000): Primary 03D28
  • DOI: https://doi.org/10.1090/S0002-9939-08-09345-3
  • MathSciNet review: 2415052