A Δ02 Set with no Infinite Low Subset in
Either It or Its Complement
Status: published in the Journal of
Symbolic Logic, vol. 66 (2001), pp. 1371 - 1381.
version and preprint
We construct the set of the title, answering a question of Cholak,
Jockusch, and Slaman, and discuss its connections with the
study of the proof-theoretic strength and effective content of
versions of Ramsey's Theorem.