# Ari Brodsky: More notions of forcing add a Souslin tree

Place: Fields Institute (Room 210)

Date: October 28, 2016 (13:30-15:00)

Speaker: Ari Brodsky, Bar-Ilan University

Title: More notions of forcing add a Souslin tree

Abstract: Shelah proved that Cohen forcing adds an $\omega_1$-Souslin tree. In this work, we identify a rather large class of notions of forcing that, assuming a GCH-type assumption, add a $\lambda^+$-Souslin tree. This class includes Prikry, Magidor and Radin forcing.

This is joint work with Assaf Rinot.