Chain Complexes of Sets - Homology Made Simple

Watch a one-hour seminar presentation from the Topos Institute Berkeley Seminar where Brandon Shapiro introduces a simplified approach to understanding homological algebra through chain complexes of sets. Learn how homology concepts can be taught without heavy algebraic prerequisites by exploring set-based analogues of classical theorems like the Snake Lemma. Discover how this pedagogical framework makes traditionally complex homological ideas more accessible while still maintaining mathematical rigor. The talk also examines how chain complexes of sets function within double categories and serve as examples for double categorical localizations, drawing from joint work with Maru Sarazola and Inna Zakharevich.