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Lecture
Homotopy theory of chain complexes
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Related lectures (32)
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Homotopy Categories: Model Structures
Explores homotopy categories in model structures, emphasizing weak equivalences and the Whitehead Lemma.
Homotopy Theory of Chain Complexes
Explores the model structure on chain complexes over a field.
Homotopy Theory: Cylinders and Path Objects
Covers cylinders, path objects, and homotopy in model categories.
Understanding Lifting Properties in Homotopy Theory
Focuses on lifting properties in homotopy theory of chain complexes.
Homotopy Theory in Chain Complexes
Explores acyclic fibrations and cylinder objects in chain complexes.
Homology of Riemann Surfaces
Explores the homology of Riemann surfaces, including singular homology and the standard n-simplex.
Serre model structure on Top
Explores the Serre model structure on Top, focusing on right and left homotopy.
Quasi-Categories: Active Learning Session
Covers fibrant objects, lift of horns, and the adjunction between quasi-categories and Kan complexes, as well as the generalization of categories and Kan complexes.
Homotopy Theory of Chain Complexes
Explores the homotopy theory of chain complexes, including path object construction and fibrations.
Homotopy Theory of Chain Complexes
Explores the homotopy theory of chain complexes, focusing on model categories, weak equivalences, and the retraction axiom.
