Kurt Gödel Research Center

2012 seminar talk: Matrix iterations and Cichon's diagram

Talk held by Diego Alejandro Mejía Guzmán (Universidad Nacional de Colombia) at the KGRC seminar on 2012-04-26.

Abstract

Using matrix iterations of ccc posets, we prove the consistency with ZFC of some cases where the cardinals on the right hand side of Cichon's diagram take two or three arbitrary values (two regular values, the third one with uncountable cofinality). Also, mixing this with Brendle's techniques in his paper Larger cardinals in Cichon's diagram, we can prove that it is consistent with ZFC to assign, at the same time, several arbitrary regular values on the left hand side of Cichon's diagram.