English

Low upper bounds of ideals

Logic 2009-02-03 v2

Abstract

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 the T-degrees below 0' for which there is a low T-upper bound.

Keywords

Cite

@article{arxiv.0708.3793,
  title  = {Low upper bounds of ideals},
  author = {Antonin Kucera and Theodore A. Slaman},
  journal= {arXiv preprint arXiv:0708.3793},
  year   = {2009}
}

Comments

The second version repairs the details of one argument and makes other minor corrections

R2 v1 2026-06-21T09:11:25.883Z