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On the Cantor-Bendixon rank of recursively enumerable sets

Published online by Cambridge University Press:  12 March 2014

Peter Cholak  and
Rod Downey
Peter Cholak*
Affiliation:
Department of Mathematics, 4009 Angell Hall, University of Michigan,Ann Arbor, Michigan, 48109
Rod Downey
Affiliation:
Victoria University of Wellington,P.O. Box 600, Wellington, New Zealand, E-mail: downey@math.vuw.ac.uz
*
Cornell University, Ithaca, New York14853, E-mail: cholak@math.cornell.edu
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Abstract

The main result of this paper is to show that for every recursive ordinal α ≠ 0 and for every nonrecursive r.e. degree d there is a r.e. set of rank α and degree d.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 58 , Issue 2 , June 1993 , pp. 629 - 640
Copyright
Copyright © Association for Symbolic Logic 1993

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References

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