Functor Categories: (Co)Limits and Simplicial Sets

This lecture delves into the computation of (co)limits in functor categories, with a focus on simplicial sets. The instructor explains the process of calculating limits and colimits in categories, starting with small categories J and I. The lecture covers the calculation of limi, &, and colimi I, with examples such as the case J = Two. The slides also discuss the history of simplicial sets and their significance in homotopical algebra. Furthermore, the lecture explores the concept of equalizers and coequalizers of simplicial maps, emphasizing the importance of faces and degeneracies in defining them.