Natural Transformations: Functors and Categories

Related lectures (32)

Page 3 of 4

Explores natural transformations in algebra, defining functors and isomorphisms.

Explores building categories from graphs and the encoding of information by functors.

Introduces functors in category theory and explains their composition.

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

Covers limits and colimits, focusing on equalizers and coequalizers in category theory.

Covers the concepts of torsion and divisibility in group theory.

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

Explores defining functors on morphisms, fixed points, orbits, equivariance, and composition preservation.

Covers the concept of isomorphism in categories, defining morphisms with inverses and exploring automorphisms and groupoids.

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