Intersection Games and Bernstein Sets
Logic
2025-11-19 v2
Abstract
The Banach-Mazur game, Schmidt's game and McMullen's absolute winning game are three quintessential intersection games. We investigate their determinacy on the real line when the target set for either player is a Bernstein set, a non-Lebesgue measurable set whose construction depends on the axiom of choice.
Keywords
Cite
@article{arxiv.2310.03039,
title = {Intersection Games and Bernstein Sets},
author = {James Atchley and Lior Fishman and Saisneha Ghatti},
journal= {arXiv preprint arXiv:2310.03039},
year = {2025}
}