Homotopy Invariance: Push Out Product

Related lectures (32)

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

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

Explores the topological Künneth Theorem, emphasizing commutativity and homotopy equivalence in chain complexes.

Explores chain homotopy, projective complexes, and homotopy equivalences in chain complexes.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

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

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

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 equivalence of left and right homotopy for morphisms between bifibrant objects.