Category Theory in Music

Lesson 1.1 : Overview
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Lesson 1.2 : Maps

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Lesson 1.3 [Video] : Commute, Identity Morphism

Lesson 1.4 [Video] : Identity Law (Set Endomorphism), Associativity Law

Lesson 1.5 : [Video] Category of Sets (Concrete Category)
f : A \rightarrow B
f^{op} : B \rightarrow A

Number of Set Mappings: \displaystyle \boxed { |f |= |B|^{|A}= |f^{op}|}

Universal Mappings Properties (UMP)
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Initial Object: 0 \rightarrow  X

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Terminal Object: X\rightarrow  1

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