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Geometry & Topology Seminar - A Distance Function on Smooth Families of Maps and a Strategy to Smooth their Singular Limits

Joey Palmer, Department of Mathematics, Washington University in St. Louis

November 15, 2013 - 3:00 pm to 4:00 pm
Location: Cupples I, Room 199 | Host: Prof. Xiang Tang, Advisor: Prof. Alvaro Pelayo

Abstract: For manifolds M and N I consider families of smooth maps from subsets of M into N. Each map has a distinct domain, and this is taken into account when I define a distance function D on such a collection. After exploring the properties of D we will shift our focus to exploring the convergence properties of such collections of smooth maps. In many cases we can perturb a family which does not converge to produce a family that does have a limit.