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arXiv · 2310.03039

Intersection Games and Bernstein Sets

James Atchley·Lior Fishman·Saisneha Ghatti
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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.

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James Atchley, Lior Fishman, Saisneha Ghatti. 2023-10-01. Intersection Games and Bernstein Sets. https://doi.org/10.2140/involve.2025.18.813

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