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Related lectures (32)

Explores derivability, differentiability, known formulas, and algebraic operations on limits, with examples and counterexamples.

Derived Functors in Homotopical Algebra

Covers the Fundamental Theorem of homotopical algebra, Quillen pairs, and derived functors.

Derived Functors

Explores derived functors, Ext-modules, Yoneda extensions, and derived categories in the context of extending modules.

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.

Derived functors: Two technical lemmas

Covers two technical lemmas essential for the Fundamental Theorem in homotopical algebra.

Derivability and Continuity

Explores derivability, continuity, and composite functions with illustrative examples.

Schematic Models: Quasi-Categories and ∞-Groupoids

Covers schematic models, emphasizing quasi-categories and ∞-groupoids in modeling categories.

Derivatives and Approximations: Logarithmic Functions

Explores derivatives and approximations, focusing on logarithmic functions and their properties.

Derivability and Limits in Analysis I

Explores derivability, limits computation, and properties of functions in Analysis I.

Homotopy Theory of Chain Complexes

Explores the homotopy theory of chain complexes, focusing on model categories, weak equivalences, and the retraction axiom.

Why Quasicategories?

Discusses the benefits of quasi-category theory and model structures.

Quillen pairs and Quillen equivalences: Derived functors

Explores Quillen pairs, equivalences, and derived functors in homotopical algebra.

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