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CIE
2007
Springer

Thin Maximal Antichains in the Turing Degrees

14 years 5 months ago
Thin Maximal Antichains in the Turing Degrees
Abstract. We study existence problems of maximal antichains in the Turing degrees. In particular, we give a characterization of the existence of a thin Π1 1 maximal antichains in the Turing degrees in terms of (relatively) constructible reals. A corollary of our main result gives a negative solution to a question of Jockusch under the assumption that every real is constructible.
Chi Tat Chong, Liang Yu
Added 07 Jun 2010
Updated 07 Jun 2010
Type Conference
Year 2007
Where CIE
Authors Chi Tat Chong, Liang Yu
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