2 papers
math.LO2024
Borel Families of Games
Alexander Kastner, Clark Lyons
We give an elementary proof that in a Borel family of games, the set of games for which player II has a winning strategy is Baire measurable, universally measurable, and completely…
math.LO2023
Baire Measurable Matchings in Non-Amenable Graphs
Alexander Kastner, Clark Lyons
We prove that every Schreier graph of a free Borel action of a finitely generated non-amenable group admits a Baire measurable perfect matching, and that the Schreier graph of a fr…