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Minimal complements for degrees below 0′

Published online by Cambridge University Press:  12 March 2014

Andrew Lewis
Andrew Lewis*
Affiliation:
Department of Pure Mathematics, School of Mathematics, University of Leeds, Leeds, LS2 9JT, UK, E-mail: thelewisboy@hotmail.com
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Abstract.

It is shown that for every (Turing) degree 0 < a < 0′ there is a minimal degree m < 0′ such that a ∨ m = 0′ (and therefore a ∧ m = 0).

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 69 , Issue 4 , December 2004 , pp. 937 - 966
Copyright
Copyright © Association for Symbolic Logic 2004

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References

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