Dima Sinapova: A Bad Scale and the Failure of SCH at $\aleph_\omega$ (part 1)

Monday, April 23, 2012, 4:00 PM
RH 440R

Speaker: Dima Sinapova

Title: A Bad Scale and the Failure of SCH at $\aleph_\omega$ (part 1)

Abstract:

Starting from a supercompact, we construct a model in which SCH fails at $\aleph_\omega$ and there is a bad scale at $\aleph_\omega$. The existence of a bad scale implies the failure of weak square. The construction uses two Prikry type forcings defined in different ground models and a suitably defined projection between them.

This is joint work with Spencer Unger.

Leave a Reply

Your email address will not be published. Required fields are marked *

Time limit is exhausted. Please reload CAPTCHA.