Sheaf cohomology

Related lectures (32)

Page 3 of 4

Explores the homotopy theory of chain complexes over a field, focusing on closure properties and decomposition.

Discusses regular implicit functions, rings, ideals, sheaves, and ring operations.

Explores the model structure on chain complexes over a field.

Explores regular functions on quasi-affine varieties, defining morphisms, local rings, and rational functions.

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

Explains the construction of the homotopy category of a model category using cofibrant and fibrant replacement.

Explores acyclic fibrations and cylinder objects in chain complexes.

Explores sets of left homotopy equivalence classes of morphisms in model categories.

Covers the definition and properties of a model category, including fibrations, cofibrations, weak equivalences, and more.

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