Adjunctions and (co)limits: Limits and colimits

Related lectures (32)

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

Explores natural transformations in algebra, defining functors and isomorphisms.

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

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

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

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

Explores (co)limits in functor categories and simplicial sets, including equalizers and coequalizers of simplicial maps.

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

Covers adjunctions, push outs, colimits, and discrete fibers in coverings, emphasizing group actions and symmetries.

Explores homotopical algebra examples and adjunctions, focusing on left and right adjoints in group functors and coproducts.