Quasi-category

Related lectures (32)

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Covers the elementary properties of model categories, emphasizing the duality between fibrations and cofibrations.

Explores geometric realization, simplicial sets, and model category structures.

Explores the relationship between categories and quasi-categories.

Covers schematic models, emphasizing quasi-categories and ∞-groupoids in modeling categories.

Explores examples of quasicategories, focusing on Kan complexes and Nerves of categories.

Defines and studies the Joyal Model structure, focusing on the properties of quasi-categories within this framework.

Covers the properties and structures of model categories, focusing on factorizations, model structures, and homotopy of continuous maps.

Covers the construction of homotopy categories from quasicategories, including definitions, compositions, and homotopy relations.

Explores the characterization of fibrations and acyclic fibrations in chain complexes.

Discusses the benefits of quasi-category theory and model structures.