Adjunctions: Constructing Desired Adjoints

Related lectures (32)

Page 3 of 4

Presents concrete examples of adjunctions between Set and Top categories.

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

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

Introduces limits and colimits in a category, covering their properties and uniqueness.

Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.

Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.

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

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

Explores (co)limits in functor categories and simplicial sets, including equalizers and coequalizers of simplicial maps.

Explores derived functors in model categories, focusing on identity and homotopy categories.