Limits and Colimits in Functor Categories

Related lectures (32)

Page 3 of 4

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

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

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

Delves into homotopical algebra, defining functors and adjunctions with examples.

Explores natural transformations between functors in different categories and their applications.

Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.

Presents concrete examples of adjunctions between Set and Top categories.

Explores homotopical algebra examples and adjunctions, focusing on left and right adjoints in group functors and coproducts.

Explores concrete examples of limits and colimits in functors and different categories.

Introduces functors, including identity and forgetful functors, and explores duality functors.