Π10 classes, LR degrees and Turing degrees

Barmpalias, George; Lewis-Pye, Andrew; and Stephan, Frank (2008) Π10 classes, LR degrees and Turing degrees Annals of Pure and Applied Logic, 156 (1). pp. 21-38. ISSN 0168-0072
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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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