Journal of Symbolic Logic

Low upper bounds of ideals

Antonín Kučera and Theodore A. Slaman

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We show that there is a low T-upper bound for the class of K-trivial sets, namely those which are weak from the point of view of algorithmic randomness. This result is a special case of a more general characterization of ideals in Δ02 T-degrees for which there is a low T-upper bound.

Article information

J. Symbolic Logic, Volume 74, Issue 2 (2009), 517-534.

First available in Project Euclid: 2 June 2009

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 68Q30 (03D15)

Turing degree K-trivial low for random


Kučera, Antonín; Slaman, Theodore A. Low upper bounds of ideals. J. Symbolic Logic 74 (2009), no. 2, 517--534. doi:10.2178/jsl/1243948325.

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