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arXiv · 1503.03428

The Banach-Mazur-Schmidt game and the Banach-Mazur-McMullen game

Lior Fishman·Vanessa Reams·David Simmons
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Abstract

We introduce two new mathematical games, the Banach-Mazur-Schmidt game and the Banach-Mazur-McMullen game, merging well-known games. We investigate the properties of the games, as well as providing an application to Diophantine approximation theory, analyzing the geometric structure of certain Diophantine sets.

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Lior Fishman, Vanessa Reams, David Simmons. 2015-03-11. The Banach-Mazur-Schmidt game and the Banach-Mazur-McMullen game. https://arxiv.org/abs/1503.03428

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