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A Survey of Mučnik and Medvedev Degrees

Published online by Cambridge University Press:  15 January 2014

Peter G. Hinman
Peter G. Hinman*
Affiliation:
Department of Mathematics, University of Michigan, 2074 East Hall, 530 Church Street, Ann Arbor, MI 48109-1043, USAE-mail: [email protected]
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Abstract

We survey the theory of Mučnik (weak) and Medvedev (strong) degrees of subsets of ωω with particular attention to the degrees of subsets of ω2. Sections 1–6 present the major definitions and results in a uniform notation. Sections 7–16 present proofs, some more complete than others, of the major results of the subject together with much of the required background material.

Type
Research Article
Information
Bulletin of Symbolic Logic , Volume 18 , Issue 2 , June 2012 , pp. 161 - 229
Copyright
Copyright © Association for Symbolic Logic 2012

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