Introduction to Category Theory: Adjoint Functors

Related lectures (32)

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

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

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

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

Covers the definition and properties of the trivial functor in category theory.

Explores natural transformations in algebra, defining functors and isomorphisms.

Covers the definition of equivalence of categories using natural transformations and provides concrete examples.

Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.

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

Explores the concept of free abelian groups as an important left adjoint functor.