Charles Steinhorn : On ordered structures of higher rank with an application in economics

Posted by , part of the Logic Seminar.

At

May 5, 2009, 4 p.m.

In

SEO 612

Abstract

It has been widely thought that o-minimal structures might lie at the first level of a hierarchy of ordered structures, in analogy with strongly minimal structures. In joint work with A. Onshuus, we develop a framework for ordered structures of finite rank. In particular, we analyze linear orders definable in o-minimal structures, and this will be the focus of the first part of the talk. This analysis appears to have an interesting application in mathematical economics---joint work with T. Brihaye, C. Michaux, and Onshuus---discussion of which is the subject of the second part of the talk.

seminar begins with tea.