Schematic Models: Quasi-Categories and ∞-Groupoids

Related lectures (31)

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

Explores the relationship between categories and quasi-categories.

Introduces quasicategories as an alternative approach to defining homotopy maps and categories.

Explores natural transformations in algebra, defining functors and isomorphisms.

Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.

Covers the relationship between model categories and homotopy categories through functors preserving structural properties.

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

Explores derived functors in model categories, focusing on identity and homotopy categories.

Explores homotopy categories in model structures, emphasizing weak equivalences and the Whitehead Lemma.

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

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

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