Introduction to Category Theory: Adjoint Functors

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.

Discusses the formulation of G-morphisms within vector spaces and topological spaces.

Introduces natural transformations in category theory through concrete examples from group theory.

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

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

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

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

Explores natural transformations in category theory with a focus on the functor L and its algebraic properties.

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