Equivalences de Catégories et Adjonctions

Related lectures (32)

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

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

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

Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.

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

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

Introduces limits and colimits in a category, covering their properties and uniqueness.

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

Explores the definition of adjunctions and the relationship between functors.

Explores natural transformations in algebra, defining functors and isomorphisms.