Theory: Adjunctions

Related lectures (32)

Explores constructing desired adjoints in specific categories like Set.

Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.

Introduces functors, including identity and forgetful functors, and explores duality functors.

Explores the concept of category theory, providing examples and discussing the opposite category concept.

Covers the theory of categories, emphasizing the importance of naturalness in the composition of transformations.

Explores homotopical algebra, covering colimits, limits, adjunctions, and their applications in group theory.

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

Covers the concepts of torsion and divisibility in group theory.

Introduces adjunctions between categories, emphasizing equivalence and natural transformations.

Introduces natural transformations through examples, covering equivalence of categories and functor properties.

Explores the construction of G-sets and left adjoint functors in category theory.

Provides an overview of categories, functors, and natural transformations in mathematics.

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