Contiguity and distributivity in the enumerable Turing degrees

Journal of Symbolic Logic 62 (4):1215-1240 (1997)
Abstract
We prove that a (recursively) enumerable degree is contiguous iff it is locally distributive. This settles a twenty-year old question going back to Ladner and Sasso. We also prove that strong contiguity and contiguity coincide, settling a question of the first author, and prove that no m-topped degree is contiguous, settling a question of the first author and Carl Jockusch [11]. Finally, we prove some results concerning local distributivity and relativized weak truth table reducibility
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DOI 10.2307/2275639
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References found in this work BETA
Richard M. Friedberg & Hartley Rogers (1959). Reducibility and Completeness for Sets of Integers. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 5 (7-13):117-125.
R. G. Downey & T. A. Slaman (1989). Completely Mitotic R.E. Degrees. Annals of Pure and Applied Logic 41 (2):119-152.

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