The Topological Künneth Theorem

Related lectures (31)

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

Explores the homology of Riemann surfaces, including singular homology and the standard n-simplex.

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

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

Explores the comparison of long exact sequences for vibrations and the relationship between homotopy and homology groups.

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

Covers induced homomorphisms on relative homology groups and their properties.

Discusses the classification of surfaces and their fundamental groups using the Seifert-van Kampen theorem and polygonal presentations.

Covers the proof of Theorem A, discussing homology, quotients, and isomorphisms.

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