Mutually Inverse Alpha and Beta

Related lectures (32)

Page 1 of 4

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

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

Covers the construction and universal properties of pushouts in group theory.

Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.

Explores group quotients and push-outs, discussing isomorphisms and surjectivity in different scenarios.

Covers the concept of products in category theory, focusing on their properties, uniqueness, and isomorphisms.

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

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

Introduces coproducts in category theory, exploring their properties, universality, and relationships with products.

Covers triangular identities, natural transformations, commutative diagrams, and adjunction notation in group and category theory.