Adjoint functors

Related lectures (32)

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Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.

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

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

Introduces adjunctions between categories, emphasizing equivalence and natural transformations.

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

Covers the transfer of model structures through adjunctions in the context of model categories.

Explores the concept of free abelian groups as an important left adjoint functor.

Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.

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

Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.