Π10 classes, LR degrees and Turing degrees

Barmpalias, G., Lewis-Pye, A. & Stephan, F. (2008). Π10 classes, LR degrees and Turing degrees. Annals of Pure and Applied Logic, 156(1), 21-38. https://doi.org/10.1016/j.apal.2008.06.004
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We say that A≤LRB if every B-random set is A-random with respect to Martin–Löf randomness. We study this relation and its interactions with Turing reducibility, π10 classes, hyperimmunity and other recursion theoretic notions.

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