2023/10/01 by Atchley, James, Fishman, Lior, Ghatti, Saisneha
#03E25 #03E60 #FOS: Mathematics #Logic (math.LO)
paper · doi:10.48550/arxiv.2310.03039
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.