Mutually Inverse Alpha and Beta

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Introduces the concept of adjoint functors in category theory, focusing on the characterization of adjunctions.

Explores natural transformations in algebra, defining functors and isomorphisms.

Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.

Explores adjunctions, triangular identities, and natural transformations in category theory.

Covers the definition of equivalence of categories using natural transformations and provides concrete examples.

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

Explores the characterization of limits and colimits as adjoints in category theory.

Explores the verification of a Lie functor as a left adjoint, with natural transformations satisfying triangular identities and isomorphisms.

Explores category equivalences, adjunctions, and group actions in category theory.

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