2022/08/08 by Brian, Will, Clontz, Steven
#FOS: Mathematics #Logic (math.LO)
paper · doi:10.48550/arxiv.2209.02593
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.