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math.LO2026
Schmidt's Game and Vitali Sets
James Atchley, Lior Fishman, Stephen Jackson +2
While many types of non-measurable sets are never -winning in the sense of Schmidt's game, we show that this is not the case for certain Vitali sets. Our main theorems show…
math.LO2023
Intersection Games and Bernstein Sets
James Atchley, Lior Fishman, Saisneha Ghatti
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 t…