Functors: Definition

Related lectures (32)

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

Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.

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

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

Explores the restriction functor in group theory, focusing on its properties.

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

Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.

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

Introduces the concept of restriction functors in group actions.

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