Excision Theory: Sketch of Proof

Related lectures (31)

Page 3 of 4

Delves into applying cellular homology to compute homology groups and Euler characteristic, showcasing its practical implications.

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

Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.

Covers the long exact sequence of relative homology groups and chain complexes.

Covers the quadratic linking degree in knot theory, exploring its definitions, properties, and significance in algebraic geometry.

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

Covers the Postnikov tower, homotopy fibers, suspension, and the James construction.

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

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

Explores the model structure on chain complexes over a field.