Elementary submodels, coding strategies, and an infinite real number game
Logic
2022-09-07 v1
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.
Keywords
Cite
@article{arxiv.2209.02593,
title = {Elementary submodels, coding strategies, and an infinite real number game},
author = {Will Brian and Steven Clontz},
journal= {arXiv preprint arXiv:2209.02593},
year = {2022}
}