Category theory

Related lectures (32)

Page 3 of 4

Explores functors between categories and the conditions for left and right adjoints.

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

Explores (co)limits in functor categories and simplicial sets, including equalizers and coequalizers of simplicial maps.

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

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

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

Introduces limits and colimits in a category, covering their properties and uniqueness.

Explores the homotopy theory of chain complexes, focusing on model categories, weak equivalences, and the retraction axiom.

Explores identity and forgetful functors in category theory, showcasing their role in preserving structure and relationships between categories.

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