Adjunctions and Push Outs

Related lectures (32)

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

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

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

Covers group quotient, group actions, and functors connecting sets and G-sets.

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

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

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

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

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

Explores the definition of adjunctions and the relationship between functors.

Discusses the formulation of G-morphisms within vector spaces and topological spaces.

Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.

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