Schematic Models: Quasi-Categories and ∞-Groupoids

Related lectures (32)

Page 3 of 4

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

Explores lifting properties and model categories in topological spaces.

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

Explores equivalences, adjunctions, and simplicial enrichment in infinity category theory.

Covers the computation of nerves and geometric realization in simplicial sets, along with functors into and out of the category of simplicial sets.

Covers the study of lifting properties in categories, focusing on the left and right lifting properties.

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

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

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

Explores Quillen equivalences, emphasizing the preservation of cofibrations and acyclic cofibrations.