Lectures related to Category Equivalence

Explores natural transformations in algebra, defining functors and isomorphisms.

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

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

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

Covers the concept of isomorphism in categories, defining morphisms with inverses and exploring automorphisms and groupoids.

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

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

Covers the definition and properties of natural transformations between functors in category theory.

Introduces categories, concrete examples, opposite categories, and isomorphisms, leading to groupoids.

Covers the definition of equivalence of categories using natural transformations and provides concrete examples.

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

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

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

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

Introduces adjunctions between categories, emphasizing equivalence and natural transformations.

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

Delves into functors, natural transformations, and group actions with explicit examples.

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

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

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