Infinity category theory: Equivalences and Adjunctions

Related lectures (32)

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

Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.

Explores category equivalences, adjunctions, and group actions in category theory.

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

Explores building categories from graphs and the encoding of information by functors.

Explores the characterization of limits and colimits as adjoints in category theory.

Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.

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

Explores natural transformations in algebra, defining functors and isomorphisms.

Explores the construction of G-sets and left adjoint functors in category theory.