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Lecture
Geometric Realization in Model Categories
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Related lectures (32)
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Elementary Properties of Model Categories
Covers the elementary properties of model categories, emphasizing the duality between fibrations and cofibrations.
Quillen pairs and Quillen equivalences: Derived functors
Explores Quillen pairs, equivalences, and derived functors in homotopical algebra.
Schematic Models: Quasi-Categories and ∞-Groupoids
Covers schematic models, emphasizing quasi-categories and ∞-groupoids in modeling categories.
Introduction to Model Categories
Explores lifting properties and model categories in topological spaces.
Homotopy Coherent Groups and Quasi-Categories
Covers the characterization of trivial Kan fibrations and the importance of homotopy coherent groups.
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 in Care Complexes
Explores the construction of cylinder objects in chain complexes over a field, focusing on left homotopy and interval chain complexes.
Homotopy Category of a Model Category
Introduces the homotopy category of a model category with inverted weak equivalences and unique homotopy equivalences.
Transfer of Model Structures
Covers the transfer of model structures through adjunctions in the context of model categories.
Lifting properties and model categories
Covers the study of lifting properties in categories, focusing on the left and right lifting properties.
