Natural Transformations: Adjunctions and Triangular Identities

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Explores natural transformations between functors in different categories and their applications.

Covers adjunctions and functor categories, emphasizing their significance in category theory and applications in deep learning.

Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.

Covers the definition and properties of natural transformations between functors in category theory.

Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.

Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.

Introduces limits and colimits in a category, covering their properties and uniqueness.

Covers the concept of natural transformations between functors and their associativity.

Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.

Explores composition of functors, induced functors, and preservation of commutative diagrams in category theory.