2 papers
math.LO2026
Unfriendly partitions of locally finite Borel graphs
José de Jesús Pelayo-Gómez
We answer in the negative the question of Thomas, recorded by Conley, Conley--Marks--Unger, and Conley--Tamuz, of whether every locally finite Borel graph admits a Borel unfriendly…
math.LO2018
Infinite Games and Ramsey Properties of Ideals
José de Jesús Pelayo Gómez
We study combinatorial properties of Borel ideals on countable sets. We construct a tall ideal for which player II has a winning strategy in the cut-and-choose game, answerin…