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Lecture
Introduction to Model Categories
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Related lectures (32)
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Homotopy Coherent Groups and Quasi-Categories
Covers the characterization of trivial Kan fibrations and the importance of homotopy coherent groups.
Derived functors: Identity and Homotopy Categories
Explores derived functors in model categories, focusing on identity and homotopy categories.
Model Categories: Properties and Structures
Covers the properties and structures of model categories, focusing on factorizations, model structures, and homotopy of continuous maps.
Acyclic Models: Cup Product and Cohomology
Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.
Quasicategories: An Alternative Homotopy Theory
Introduces quasicategories as an alternative approach to defining homotopy maps and categories.
Examples of Quasicategories
Explores examples of quasicategories, focusing on Kan complexes and Nerves of categories.
Group Morphisms: G-equivariant, Chapter III
Discusses the formulation of G-morphisms within vector spaces and topological spaces.
Lifting properties, Chapter 2(a): Definition and elementary properties of model categories
Covers morphisms with lifting properties, pushouts, pullbacks, and the uniqueness in the universal property of pushouts.
Active Learning in Category Theory
Explores examples of categories, morphisms, groupoids, and functors in category theory.
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.
