Dima Sinapova : The tree property at $\aleph_{\omega^2+1}$ and $\aleph_{\omega^2+2}$

Posted by Sherwood Hachtman , part of the Logic Seminar.

At

Feb. 2, 2016, 4 p.m.

In

SEO 427

Abstract

We will show that the tree property can consistently hold at $\aleph_{\omega^2+1}$ and $\aleph_{\omega^2+2}$ simultaneously, where $\aleph_{\omega^2}$ is strong limit. This result is motivated by the long term project in set theory to get the tree property at every regular cardinal greater than $\aleph_1$. This is joint work with Spencer Unger.