First Section Will Cover • Category of Sets • Sets with a Endomap • Category of Permutations Structure of This Course • Category Theory Overview • Category Theory Deep-Dive • Music Theory Formulation • Implement Theory in Software Topics Terminal Object Equalizer Initial Object Co-Equalizer Monomorphism Product Epimorphism Co-Product Pullback Sub-Object Pushout Map Object Categories Variable Sets Posets Dynamical Systems Bouquets Permeations Pointed Sets Graphs Bisets The 12 Pitch-Classes in Music • There are groups of 2 black notes (in green), and groups of 3 (in purple) • The note C is denoted in orange • Major in C • There are two names for the black note • In some cases one name must be used instead of the other
