Topology and Geometry Seminar

Location: CL 305

Speaker: Gabriel Valenzuela, University of Regina

Title: More on Simplicial Sets, Kan Complexes and Quasi-Categories

Abstract:  

We’ll continue where we left off last time and talk about some properties of the category of simplicial sets, including the Kan-Quillen Model structure on them. As it was discussed before, the idea of introducing simplicial sets is that we can use them to model homotopy types of spaces, in this talk we introduce Kan complexes which are precisely the bifibrant objects in SSet. We’ll discuss the Nerve functor and some properties of Kan complexes and Quasi-Categories.