English

Forcing constructions and countable Borel equivalence relations

Logic 2015-03-27 v1 Dynamical Systems

Abstract

We prove a number of results about countable Borel equivalence relations with forcing constructions and arguments. These results reveal hidden regularity properties of Borel complete sections on certain orbits. As consequences they imply the nonexistence of Borel complete sections with certain features.

Keywords

Cite

@article{arxiv.1503.07822,
  title  = {Forcing constructions and countable Borel equivalence relations},
  author = {Su Gao and Steve Jackson and Edward Krohne and Brandon Seward},
  journal= {arXiv preprint arXiv:1503.07822},
  year   = {2015}
}
R2 v1 2026-06-22T09:03:06.059Z