Sets of Left Homotopy Classes: The Homotopy Relation in a Model Category

Related lectures (32)

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

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.

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

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

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

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

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

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

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