Dima Sinapova : The extend of square in models of not SCH

Posted by Isaac Goldbring , part of the Logic Seminar.

At

Nov. 19, 2013, 4 p.m.

In

SEO 427

Abstract

We investigate the relationship between square properties and the failure of the Singular Cardinal Hypothesis (SCH). We will focus on models where SCH fails at $\aleph_\omega$ and models when SCH fails at $\kappa$ while GCH holds below $\kappa$. We will also talk about very good scales and how they interact with both square properties and SCH.