PLEASE NOTE THE CHANGE OF TIME.Department of Mathematics University of Haifa ALGEBRA SEMINAR Speaker: Prof. Antongiulio Fornasiero (University of Muenster) Title: Restrained structures. Date: Thursday, December 29th, 2011 at 14:10 Place: Room 614 of the Science & Education Building, Univ. of Haifa Abstract: We study first-order expansions of the real field that are restrained, i.e. that do not define the set of natural numbers. Being restrained is equivalent to several other notions of tameness. In particular: in a restrained structure, all reasonable notions of dimension (topological, Hausdorff, Minkowski, ...) coincide for unary closed definable sets (we also have partial results for non-unary sets); moreover, any continuous definable function is differentiable almost everywhere. Similar results hold also in definably complete structures outside the real line. Joint work with P. Hieromymi and C. Miller. --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Yuval Ginosar <ginosar@math.haifa.ac.il>