Toronto Set Theory

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A bad scale and not SCH at $\aleph_\omega$

by Dima Sinapova | UIC
Time: 13:30  (Friday, Aug. 17, 2012)
Location: FI210, Fields Institute, 222 College St
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.

Dates in this series

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