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Lecture
Homotopy Theory of Chain Complexes
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Homotopy Theory of Chain Complexes
Explores the homotopy theory of chain complexes over a field, focusing on closure properties and decomposition.
Homotopy Theory of Chain Complexes
Explores the homotopy theory of chain complexes, focusing on model categories, weak equivalences, and the retraction axiom.
Serre model structure on Top
Explores the Serre model structure on Top, focusing on right and left homotopy.
Homotopy theory of chain complexes
Explores the homotopy theory of chain complexes, focusing on defining cylinder objects and left homotopy.
Homotopy Category and Derived Functors
Explores the homotopy category of chain complexes and the relation between quasi-isomorphisms and chain homotopy equivalences.
Homotopy theory of chain complexes
Explores the homotopy theory of chain complexes, focusing on retractions and model category structures.
Elementary Properties of Model Categories
Covers the elementary properties of model categories, emphasizing the duality between fibrations and cofibrations.
Understanding Lifting Properties in Homotopy Theory
Focuses on lifting properties in homotopy theory of chain complexes.
Serre model structure: Left and right homotopy
Explores the Serre model structure, focusing on left and right homotopy equivalences.
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.
