Category theory

Related lectures (32)

Page 3 of 4

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

Focuses on the pushout and pullback constructions in sets, illustrating colimits and limits with explicit examples.

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

Explores the restriction functor in group theory, focusing on its properties.

Explores the definition of adjunctions and the relationship between functors.

Covers the definition of equivalence of categories using natural transformations and provides concrete examples.

Explores group quotients and push-outs, discussing isomorphisms and surjectivity in different scenarios.

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

Introduces the theory of categories by generalizing the Cartesian product and disjoint union of sets to any category.

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