Dec 4 2019

Louise Hay Logic Seminar: Mutual Stationarity, by Noah Schoem

December 4, 2019

4:00 PM - 4:50 PM


427 SEO


Chicago, IL

Noah Schoem: Mutual Stationarity

We can say that a set $S\subseteq\kappa$ is stationary if for any $\lambda>\kappa$
and every model $\mathcal{U}=\langle H_\lambda,\in,\dots\rangle$
there is an $M\prec \mathcal{U}$ such that $\sup(M\cap\kappa)\in S$.

But what if we want this result for a sequence of stationary sets simultaneously,
that is, given $\langle S_\alpha\mid \alpha<\tau\rangle$, each $S_\alpha$ stationary in some $\kappa_\alpha<\tau$, for every $\mathcal{U}=\langle H_\lambda,\in,\dots\rangle$ with $\lambda<\kappa_\tau$, is there an $M\prec \mathcal{U}$ such that for all $\alpha<\tau$, $\sup(M\cap \kappa_\alpha)\in S_\alpha$? We will explore what originally motivated this question and consistency results surrounding mutual stationarity. Please click here to make changes to, or delete, this seminar announcement.


Noah Schoem

Date posted

Dec 13, 2019

Date updated

Dec 13, 2019


Noah Schoem