English

Borel Families of Games

Logic 2024-02-27 v1

Abstract

We give an elementary proof that in a Borel family of games, the set of games for which player II has a winning strategy is Baire measurable, universally measurable, and completely Ramsey in the case where X=[N]0X = [\mathbb{N}]^{\aleph_0}.

Keywords

Cite

@article{arxiv.2402.15899,
  title  = {Borel Families of Games},
  author = {Alexander Kastner and Clark Lyons},
  journal= {arXiv preprint arXiv:2402.15899},
  year   = {2024}
}