Logic Seminar
Kathryn Vozoris
UIC
The Morley rank modulo a predicate of the complex field with a predicate for the integers
Abstract: I will discuss the notion of Morley rank modulo a predicate (PMR) recently introduced by Jacob
Heidenreich. This is a generalization of Morley rank designed for structures with a predicate, where the
underlying structure without the predicate is totally transcendental. The aim of PMR is to measure the
dimension of a structure without taking into account the definable sets generated by the predicate. I will
discuss the proof that the PMR of the complex field with a predicate for the integers is larger than every
natural number.
Tuesday October 24, 2006 at 4:00 PM in SEO 427