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Examples of Quasicategories
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Related lectures (32)
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Homotopy Category and Derived Functors
Explores the homotopy category of chain complexes and the relation between quasi-isomorphisms and chain homotopy equivalences.
Introduction to Model Categories
Explores lifting properties and model categories in topological spaces.
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 Categories: Model Structures
Explores homotopy categories in model structures, emphasizing weak equivalences and the Whitehead Lemma.
Derived functors: Identity and Homotopy Categories
Explores derived functors in model categories, focusing on identity and homotopy categories.
Induced Homomorphisms on Relative Homology Groups
Covers induced homomorphisms on relative homology groups and their properties.
Existence of Left Derived Functors: Part 2
Concludes the proof of the existence of left derived functors and discusses total left and right derived functors.
Quillen pairs and Quillen equivalences: Derived functors
Explores Quillen pairs, equivalences, and derived functors in homotopical algebra.
Construction of the homotopy category
Explains the construction of the homotopy category of a model category using cofibrant and fibrant replacement.
Quillen Equivalences
Explores Quillen equivalences, emphasizing the preservation of cofibrations and acyclic cofibrations.
