From Simplicial Categories to Quasicategories

Related lectures (32)

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

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

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

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

Introduces the category of simplicial sets and explores the standard n-simplex as a universal example.

Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.

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

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

Explores natural transformations between functors in different categories and their applications.

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