Logic Seminar
Charles Steinhorn
Vassar College
On ordered structures of higher rank with an application in economics
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.
Tuesday May 5, 2009 at 4:00 PM in SEO 612