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March 2006 Jump operator and Yates degrees
Guohua Wu
J. Symbolic Logic 71(1): 252-264 (March 2006). DOI: 10.2178/jsl/1140641173

Abstract

In [9], Yates proved the existence of a Turing degree a such that 0, 0’ are the only c.e. degrees comparable with it. By Slaman and Steel [7], every degree below 0’ has a 1-generic complement, and as a consequence, Yates degrees can be 1-generic, and hence can be low. In this paper, we prove that Yates degrees occur in every jump class.

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Guohua Wu. "Jump operator and Yates degrees." J. Symbolic Logic 71 (1) 252 - 264, March 2006. https://doi.org/10.2178/jsl/1140641173

Information

Published: March 2006
First available in Project Euclid: 22 February 2006

zbMATH: 1140.03019
MathSciNet: MR2210066
Digital Object Identifier: 10.2178/jsl/1140641173

Rights: Copyright © 2006 Association for Symbolic Logic

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Vol.71 • No. 1 • March 2006
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