We consider perfect maps of topological spaces and discrete cofibrations of categories to guide us into Burroni’s notions of T-category and T-functor. In that environment we establish a so-called comprehensive factorization system that entails the classical Street-Walters system, as well as the (antiperfect, perfect) system for continuous maps of Tychonoff spaces known since the 1960s.
Based on joint work with Leila Yeganeh. This work is based on this arXiv paper.
This video is part of Masaryk University‘s Algebra seminar.
