Why Quasicategories?

Related lectures (32)

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

Explores the homotopy category of chain complexes and the relation between quasi-isomorphisms and chain homotopy equivalences.

Explores the Serre model structure, focusing on left and right homotopy equivalences.

Explores the Whitehead Lemma, showing when a morphism is a weak equivalence.

Introduces the homotopy category of a model category with inverted weak equivalences and unique homotopy equivalences.

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

Covers cylinders, path objects, and homotopy in model categories.

Explores the model structure on chain complexes over a field.

Explores the Serre model structure on Top, focusing on right and left homotopy.

Covers the definition and properties of a model category, including fibrations, cofibrations, weak equivalences, and more.