Introduction to Category Theory: Natural Transformations

Related lectures (32)

Page 3 of 4

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

Explores natural transformations in algebra, defining functors and isomorphisms.

Explores natural transformations in category theory with a focus on the functor L and its algebraic properties.

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

Introduces natural transformations through examples, covering equivalence of categories and functor properties.

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

Introduces adjunctions in category theory, exploring necessary conditions and natural transformations for adjoint functors.

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

Covers natural transformations between functors, identity transformations, and equivalence of categories.

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