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# Sigma-Prikry forcing, part 2

Seminar
Speaker
Alejandro Poveda (Universitat de Barcelona)
Date
13/05/2020 - 13:00 - 11:00
Place
zoom
Abstract

(joint work with A. Rinot and D. Sinapova)

In the previous talk, we introduced the notion of \Sigma-Prikry forcing and showed that many classical Prikry-type forcing which center on countable cofinalities fall into this framework.

The aim of this talk is to present our iteration scheme for \Sigma-Prikry forcings.

In case time permits, we will also show how to use this general iteration theorem to derive as a corollary the following strengthening of Sharon’s theorem: starting with \omega-many supercompact cardinals one can force a generic extension where Refl(<\omega,\kappa^+) holds and SCH_\kappa fails, for \kappa being a strong limit cardinal with cofinality \omega.

The slides are now available.

תאריך עדכון אחרון : 13/05/2020