Wed September 10, 4:00 412 SEO
Speaker: Dave Marker
Title: Locally o-minimal theories
Abstract: We say an ordered structure M is locally o-minimal if for every definable subset X of M and every a in M there is an open neighborhood U of a such that X intersect U is a finite union of points and intervals. I will give several examples of locally o-minimal structures and discuss consequences in higher dimensions. This is joint work with Charlie Steinhorn.