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Related lectures (32)
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Homotopical Algebra
Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.
Adjunctions and Limits: Exploring Functors and Co-limits
Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.
Active Learning in Category Theory
Explores examples of categories, morphisms, groupoids, and functors in category theory.
Limits and Colimits in Functor Categories
Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.
Adjunction between Simplicial Sets and Enriched Categories
Covers the adjunction between simplicial sets and simplicially enriched categories, including preservation of inclusions and construction of homotopy categories.
Elementary Properties of Model Categories
Covers the elementary properties of model categories, emphasizing the duality between fibrations and cofibrations.
Limits and colimits: Introduction, Chapter 1(c)
Introduces limits and colimits in a category, covering their properties and uniqueness.
Quasicategories: An Alternative Homotopy Theory
Introduces quasicategories as an alternative approach to defining homotopy maps and categories.
Natural Transformations in Algebra
Explores natural transformations in algebra, defining functors and isomorphisms.
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.
