Journal of Symbolic Logic

Jump operator and Yates degrees

Guohua Wu

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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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J. Symbolic Logic Volume 71, Issue 1 (2006), 252-264.

First available in Project Euclid: 22 February 2006

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Wu, Guohua. Jump operator and Yates degrees. J. Symbolic Logic 71 (2006), no. 1, 252--264. doi:10.2178/jsl/1140641173.

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