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The cupping theorem in R/M

Published online by Cambridge University Press:  12 March 2014

Sui Yuefei  and
Zhang Zaiyue
Sui Yuefei
Affiliation:
Institute of Software, Academia Sinica, P.O. Box 8718, Beijing, China E-mail: syf@ox.ios.ac.cn
Zhang Zaiyue
Affiliation:
Department of Mathematics, Yangzhou Teaching College, Yangzhou, Jiangsu, China
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Abstract

It will be proved that the Shoenfield cupping conjecture holds in R/M, the quotient of the recursively enumerable degrees modulo the cappable r.e. degrees. Namely, for any [a], [b] ∈ R/M such that [0] ≺ [b] ≺ [a] there exists [c] ∈ R/M such that [c] ≺ [a] and [a] = [b] ∨ [c].

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 64 , Issue 2 , June 1999 , pp. 643 - 650
Copyright
Copyright © Association for Symbolic Logic 1999

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References

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