English

Avoid Schnorr randomness

Logic 2020-06-08 v2

Abstract

We prove that every finite partition of ω\omega admit an infinite subset that does not compute a Schnorr random real. We use this result to answer two questions of Brendle, Brooke-Taylor, Ng and Nies and strength a result of Khan and Miller.

Cite

@article{arxiv.1912.09052,
  title  = {Avoid Schnorr randomness},
  author = {Lu Liu},
  journal= {arXiv preprint arXiv:1912.09052},
  year   = {2020}
}