Mathematical logic seminar - February 18, 2014

Time: 12:00 - 13:20

Room: Wean Hall 7201

Speaker:     Chris Lambie-Hanson    
Department of Mathematical Sciences
Carnegie Mellon University

Title: Jonsson cardinals, partition relations and stationary reflection


I will give an introduction to Jonsson cardinals and related square bracket partition relations. We will prove some of the basic facts about Jonsson cardinals, focusing in particular on the important open question of whether the successor of a singular cardinal can be Jonsson. This will involve a discussion of the connections between Jonsson cardinals and stationary reflection, which will lead into a recent result of Cummings and myself.