Functors and Natural Transformations

Related lectures (32)

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Covers the theory of categories, emphasizing the importance of naturalness in the composition of transformations.

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

Covers simplicial and cosimplicial objects in category theory with practical examples.

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

Explores examples of categories, morphisms, groupoids, and functors in category theory.

Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.

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

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