Natural Transformations: Adjunctions and Triangular Identities

Related lectures (32)

Page 3 of 4

Covers simplicial and cosimplicial objects in category theory with practical examples.

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

Explores a concrete example of adjunction in category theory and covers natural transformations and group theory concepts.

Explores the definition of adjunctions and the relationship between functors.

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

Explores category equivalences, adjunctions, and group actions in category theory.

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

Introduces functors in category theory and explains their composition.

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

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