Functors: Categories, Functors, and Natural Transformations

Related lectures (32)

Page 1 of 4

Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.

Explores natural transformations in algebra, defining functors and isomorphisms.

Explores functors between categories and the conditions for left and right adjoints.

Covers adjunctions and functor categories, emphasizing their significance in category theory and applications in deep learning.

Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.

Provides an overview of categories, functors, and natural transformations in mathematics.

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

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

Explores constructing desired adjoints in specific categories like Set.

Explores building categories from graphs and the encoding of information by functors.