Strong Prikry Property for Magidor Iteraton, part 2

Seminar
Speaker
Omer Ben-Neria (HUJI)
Date
07/04/2021 - 16:00 - 14:00Add to Calendar 2021-04-07 14:00:00 2021-04-07 16:00:00 Strong Prikry Property for Magidor Iteraton, part 2 In his celebrated work on the identity crisis of strongly compact cardinals, Magidor introduced a special iteration of Prikry forcings for a set of measurable cardinals, known as the Magidor iteration. The purpose of this talk is to state and prove a version of the strong Prikry Lemma for such iterations, extending a result of Fuchs for the case where the set of measurables is discrete.  We will also describe several applications regarding the genericity of sequences of critical points in iterated ultrapowers. Link to recording. zoom אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
zoom
Abstract

In his celebrated work on the identity crisis of strongly compact cardinals, Magidor introduced a special iteration of Prikry forcings for a set of measurable cardinals, known as the Magidor iteration.

The purpose of this talk is to state and prove a version of the strong Prikry Lemma for such iterations, extending a result of Fuchs for the case where the set of measurables is discrete.  We will also describe several applications regarding the genericity of sequences of critical points in iterated ultrapowers.

Link to recording.

Last Updated Date : 25/04/2021