HOME / CALENDAR / Set Theory Seminar: Tom Benhamou (UIC) - The Ultrapower Axiom and the Galvin property

Set Theory Seminar: Tom Benhamou (UIC) - The Ultrapower Axiom and the Galvin property

Date: 
Wed, 02/08/202313:00-15:00
Location: 
Ross 70

Title: "The Ultrapower Axiom and the Galvin property".
Speaker: Tom Benhamou, University of Illinois at Chicago.
Abstract: In the first part of the talk, we will present a recently discovered connection
 between the Galvin property and the Tukey order. This is a joint result with Natasha Dobrinen. In the second part, we will introduce several dimond-like principles for ultrafilters which and prove some relations  with to the Galvin property. Finally, we use the Ultrapower Axiom to characterize the Galvin property in the known canonical inner models. The second and third part is joint work with Gabriel Goldberg.
Tom's talk will be broadcasted on Zoom via the following link: