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arXiv · 2209.02593

Elementary submodels, coding strategies, and an infinite real number game

Will Brian·Steven Clontz
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Abstract

Matthew Baker investigated, in previous work, an elegant, infinite-length game that may be used to study subsets of real numbers. We present two accessible examples of how an important technique from set theory, or a different technique from infinite game theory, may be used to answer Baker's question on whether this game provides a precise characterization for countable subsets of real numbers, and we connect this game to the well-studied Banach-Mazur game from topology.

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Will Brian, Steven Clontz. 2022-08-08. Elementary submodels, coding strategies, and an infinite real number game. https://arxiv.org/abs/2209.02593

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