Lectures related to Theory: Adjunctions

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

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

Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.

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

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

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

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

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

Explores constructing desired adjoints in specific categories like Set.

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

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

Explores natural transformations in algebra, defining functors and isomorphisms.

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

Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.

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

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

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

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

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

Explores the concept of category equivalence through isomorphic functors and natural isomorphisms between categories.