Logic Seminar
Will Adkisson
UIC
Mutual Stationarity and Combinatorics at $\aleph_\omega$
Abstract: Stationary sets are a fundamental concept in set theory, but their definition only makes sense at regular cardinals. We will describe mutual stationarity, a property that can be viewed as an analog of stationarity for singular cardinals, and discuss how it interacts with other combinatorial properties at or near $\aleph_\omega$. In particular, we will discuss stationary reflection and the failure of the Singular Cardinal Hypothesis.
Tuesday November 21, 2023 at 4:00 PM in 636 SEO