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arXiv · 1710.02229

On winning strategies for Banach-Mazur games

Anumat Srivastava
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Abstract

We give topological and game theoretic definitions and theorems nec- essary for defining a Banach-Mazur game, and apply these definitions to formalize the game. We then state and prove two theorems which give necessary conditions for existence of winning strategies for players in a Banach-Mazur game.

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Anumat Srivastava. 2017-10-05. On winning strategies for Banach-Mazur games. https://arxiv.org/abs/1710.02229

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