Introduction to Category Theory: Adjoint Functors

Related lectures (32)

Page 3 of 4

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

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

Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.

Covers the definition and properties of natural transformations between functors in category theory.

Introduces functors in category theory and explains their composition.

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

Explores the concept of category theory, providing examples and discussing the opposite category concept.

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

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

Discusses the formulation of G-morphisms within vector spaces and topological spaces.