Functors: Definition

Related lectures (32)

Page 3 of 4

Covers examples of categories like sets, groups, and vector spaces, exploring composition and product formation.

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

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

Explores the Hom functor in Abelian groups, focusing on its construction and properties.

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

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

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

Covers the computation of nerves and geometric realization in simplicial sets, along with functors into and out of the category of simplicial sets.

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

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