English

Relative to any non-hyperarithmetic set

Logic 2011-10-11 v1

Abstract

We prove that there is a structure, indeed a linear ordering, whose degree spectrum is the set of all non-hyperarithmetic degrees. We also show that degree spectra can distinguish measure from category.

Keywords

Cite

@article{arxiv.1110.1907,
  title  = {Relative to any non-hyperarithmetic set},
  author = {Noam Greenberg and Antonio Montalban and Theodore Slaman},
  journal= {arXiv preprint arXiv:1110.1907},
  year   = {2011}
}

Comments

21 pages

R2 v1 2026-06-21T19:17:37.164Z