31/05/2011, 15:00 — 16:00 — Room P3.10, Mathematics Building Dan Christensen, University of Western Ontario
Categories of smooth spaces
I will describe some categories of "smooth spaces" which generalize the notion of manifold. The generalizations allow us to form smooth spaces consisting of subsets and quotients of manifolds, as well as loop spaces and other function spaces. In more technical language, these categories of smooth spaces are complete, cocomplete and cartesian closed. I will give examples, discuss possible applications and explain why it would be useful to be able to do homotopy theory in a category of smooth spaces. Talk slides
