Introduction to Category Theory: Functors

Related lectures (32)

Page 2 of 4

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

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

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

Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.

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

Explores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.

Explores the construction of G-sets and left adjoint functors in category theory.

Explores natural transformations in algebra, defining functors and isomorphisms.

Explores group actions, defining functors on groups, and verifying properties of group actions.

Introduces an important generalization of category equivalence and its implications for group theory.