# Carlos Uzcategui: Uniform Ramsey theoretic properties

02/August/2013, 13:30-15:00
Fields Institute, Room 210

Speaker:  Carlos Uzcategui

Title: Uniform Ramsey theoretic properties

Abstract:

The classical Ramsey theorem holds uniformly in the following sense. There is a Borel map that for a given coloring of pairs and an infinite set A, it selects an infinite homogeneous subset of A. This fact sugests that the notions of a selective, Frechet, p+ and q+ ideal could also hold uniformly. We will discuss about some of those uniform Ramsey theoretic properties.