Logic Seminar
Roland Walker
UIC
Distality Rank
Abstract: We develop distality rank as a property of first-order theories and give examples for each rank $m$ such that $1\leq m \leq \omega$. For NIP theories, we show that distality rank is invariant under base change. We also define a generalization of type orthogonality called $m$-determinacy and show that theories of distality rank $m$ require certain products to be $m$-determined. Furthermore, for NIP theories, this behavior characterizes distality rank $m$.
Tuesday October 29, 2019 at 3:30 PM in 427 SEO