Monoidal category

Related lectures (29)

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Covers examples of categories like sets, groups, and vector spaces, exploring composition and product formation.

Covers the transfer of model structures through adjunctions in the context of model categories.

Introduces functors, including identity and forgetful functors, and explores duality functors.

Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.

Presents concrete examples of adjunctions between Set and Top categories.

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

Explores the homotopy theory of chain complexes, focusing on model categories, weak equivalences, and the retraction axiom.

Covers limits, colimits, standard simplices, mapping spaces, boundaries, horns, and spines.

Explores functors between categories and the conditions for left and right adjoints.

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