Catégories dérivables

DOI10.24033/bsmf.2592zbMath1203.18013OpenAlexW4256325681MaRDI QIDQ3056513

Denis-Charles Cisinski

Publication date: 12 November 2010

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/en/Publications/Bulletin/138/html/smf_bull_138_317-393.php

zbMATH Keywords

derived equivalencemodel categorystable categoryhomotopy limitderivable category

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Related Items (16)

Symmetric monoidal structure on non-commutative motives ⋮ The theory of half derivators ⋮ Homotopy (pre)derivators of cofibration categories and quasicategories ⋮ Three real Artin-Tate motives ⋮ Internal languages of finitely complete \((\infty , 1)\)-categories ⋮ Global stable splittings of Stiefel manifolds ⋮ Unbounded algebraic derivators ⋮ Stabilization of derivators revisited ⋮ A note on \(K\)-theory and triangulated derivators ⋮ Quasicategories of frames of cofibration categories ⋮ Homotopy units in 𝐴-infinity algebras ⋮ Non-connective K-theory via universal invariants ⋮ Higher symmetries in abstract stable homotopy theories ⋮ Cofibrant models of diagrams: Mixed Hodge structures in rational homotopy ⋮ The two out of three property in ind-categories and a convenient model category of spaces ⋮ Abstract representation theory of Dynkin quivers of type \(A\)

Cites Work

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• Homotopy theory of diagrams
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• Derived categories and universal problems
• The Loop-Space Functor in Homological Algebra
• Locally constant functors
• Homotopy theories
• Higher algebraic K-theory: I
• Abstract homotopy theory and generalized sheaf cohomology
• Homotopy ends and Thomason model categories

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