Examples of Quasicategories

Related lectures (32)

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

Explores the homotopy theory of chain complexes, focusing on model categories, weak equivalences, and the retraction axiom.

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

Introduces the course on homotopical algebra, exploring the power of analogy in pure mathematics.

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

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

Explores the homotopy theory of chain complexes, focusing on retractions and model category structures.

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

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

Explores the construction of cylinder objects in chain complexes over a field, focusing on left homotopy and interval chain complexes.