Recent and upcoming talks by Joshua Brot

Joshua Brot, Mengyang Cao, David J. Fernández-Bretón: Finiteness classes arising from Ramsey-theoretic statements in set theory without choice

Thursday, June 14, 2018, from 4 to 5:30pm East Hall, room 4096 Speaker: Joshua Brot, Mengyang Cao, David J. Fernández-Bretón (University of Michigan) Title: Finiteness classes arising from Ramsey-theoretic statements in set theory without choice Abstract: We investigate infinite sets that witness the failure of certain Ramsey-theoretic statements, such as Ramsey’s or (appropriately phrased) Hindman’s theorem; such sets may exist if one does not assume the Axiom of Choice. continue reading…