Charles Steinhorn : Some remarks on a notion of rank for ordered structures

Posted by Matthias Aschenbrenner , part of the Logic Seminar.

At

April 25, 2006, 4 p.m.

In

SEO 427

Abstract

We discuss joint work with A. Onshuus concerning notion(s) of rank for linearly ordered structures. Ever since o-minimal theories were defined, it has been thought that they might play a role with respect to linearly ordered structures analogous to that played by strongly minimal theories in the stable context. The talk focuses on the authors' efforts to begin to develop this analogy via the introduction of rank(s) for ordered structures.