Logic Seminar
Sergio Fratarcangeli
McMaster University
Two generalizations of Khovanskii Theory over an o-minimal structure
Abstract: Khovanskii Theory is an important tool for identifying new o-minimal structures and for obtaining
uniformity results within o-minimal structures. In this talk, we generalize Khovanskii Theory in two
directions. In one case, we produce a version that holds within any expansion of an ordered field with the
intermediate value property. In the other case, we generalize how sets may be obtained from Rolle
leaves---beyond mere intersections---so that the number of their connected components is still
uniformly bounded.
Tuesday January 31, 2006 at 3:00 PM in SEO 427