An Interesting Functor: A Characterization of Adjunctions

Related lectures (32)

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Explores examples of categories, morphisms, groupoids, and functors in category theory.

Introduces functors in category theory and explains their composition.

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

Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.

Delves into homotopical algebra, defining functors and adjunctions with examples.

Explores constructing desired adjoints in specific categories like Set.

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

Covers natural transformations between functors, identity transformations, and equivalence of categories.

Explores defining functors on morphisms, fixed points, orbits, equivariance, and composition preservation.

Explores adjunctions in Group Theory, discussing definitions, comparisons, and functorial structure preservation.