Infinity Category Theory: Extensions and Equivalences

Related lectures (32)

Page 3 of 4

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

Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.

Explains the construction of the homotopy category of a model category using cofibrant and fibrant replacement.

Covers details of the upcoming theoretical exam, including structure and guidelines.

Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Introduces natural transformations in category theory through concrete examples from group theory.

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

Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.

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