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CUPPING THE RECURSIVELY ENUMERABLE DEGREES BY D.R.E. DEGREES

Published online by Cambridge University Press:  01 July 1999

ANGSHENG LI  and
XIAODING YI
ANGSHENG LI
Affiliation:
Institute of Software, Chinese Academy of Sciences, Beijing, 100080, China E-mail: liang@ox.ios.ac.cn
XIAODING YI
Affiliation:
School of Mathematics, University of Leeds, Leeds, LS2 9JT, E-mail: angsheng@amsta.leeds.ac.uk
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Abstract

We prove that there are two incomplete d.r.e.\ degrees (the Turing degrees of differences of two recursively enumerable sets) such that every non-zero recursively enumerable degree cups at least one of them to ${\bf 0}′$, the greatest recursively enumerable (Turing) degree.

Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 79 , Issue 1 , July 1999 , pp. 1 - 21
Copyright
London Mathematical Society 1999

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