Spencer Unger: Scales and the Singular Cardinals Hypothesis

Spencer Unger will continue his series of talks.

Mathematical logic seminar – January/February 2013
Time:     12:00 – 13:20

Room:     Wean Hall 7201

Speaker:         Spencer Unger
Department of Mathematical Sciences
Carnegie Mellon University

Title:     Scales and the Singular Cardinals Hypothesis

Abstract:

(Joint work with Dima Sinapova)

In this series of talks I will present the following recent result which answers a question posed by Woodin in the 80’s.

Assuming that there is a supercompact cardinal it is consistent that the singular cardinals hypothesis (SCH) fails at aleph_omega and there is a bad scale at aleph_omega.

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