Dima Sinapova : Singularizing cardinals and square

Posted by Dima Sinapova , part of the Logic Seminar.

At

April 15, 2014, 4 p.m.

In

SEO 427

Abstract

It is difficult to avoid the weaker square principles at successors of singulars. Doing so requires large cardinals. It is especially difficult to obtain these failures while also violating the Singular Cardinal Hypothesis (SCH). The latter is usually achieved by singularizing some large cardinal. I will discuss the impact of singularizing cardinals on square properties. This is joint work with M. Magidor