A δ02 set with no infinite low subset in either it or its complement

Journal of Symbolic Logic 66 (3):1371 - 1381 (2001)
Abstract
We construct the set of the title, answering a question of Cholak, Jockusch, and Slaman [1], and discuss its connections with the study of the proof-theoretic strength and effective content of versions of Ramsey's Theorem. In particular, our result implies that every ω-model of RCA 0 + SRT 2 2 must contain a nonlow set
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