Functors: Examples

Related lectures (32)

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

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

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

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

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

Explores coproducts, universal properties, and natural transformations in category theory.

Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.

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

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

Introduces natural transformations in category theory through concrete examples from group theory.