Notes

Math 632 – 9/13

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Math 632 – 9/11

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Math 632 – 9/6

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范畴论 Category Theory

Category Theory: The Beginner’s Introduction

Playlist: https://www.youtube.com/playlist?list=PLm_IBvOSjN4zthQSQ_Xt6gyZJZZAPoQ6v

Video 1	Notes	https://youtu.be/P6DvIfTJhx8
Video 2	Notes	https://youtu.be/4fggq5U3Khg
Video 3	Notes	https://youtu.be/hYO14y50Uso
Video 4	Notes	https://youtu.be/80bbALpA8k8
Video 5	Notes	https://youtu.be/Z-qL2G60zJk
Video 6	Notes	https://youtu.be/TsogM9CEbUk

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Category Theory – Video 1

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

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