Category (mathematics)

Related lectures (32)

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Explores natural transformations in algebra, defining functors and isomorphisms.

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

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

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

Presents concrete examples of adjunctions between Set and Top categories.

Explores identity and forgetful functors in category theory, showcasing their role in preserving structure and relationships between categories.

Explores the concept of category theory, providing examples and discussing the opposite category concept.

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

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

Introduces the theory of categories by generalizing the Cartesian product and disjoint union of sets to any category.