Invariance de laK-Théorie par équivalences dérivées

DOI10.1017/is009010008jkt094zbMath1230.19002OpenAlexW2320252317MaRDI QIDQ3081318

Denis-Charles Cisinski

Publication date: 7 March 2011

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/is009010008jkt094

zbMATH Keywords

K-theoryderived equivalencesimplicial categoryWaldhausen categorysimplicial localization

Mathematics Subject Classification ID

(K)-theory and homology; cyclic homology and cohomology (19D55)

Related Items (18)

Homotopy (pre)derivators of cofibration categories and quasicategories ⋮ Model \(\infty\)-categories. II: Quillen adjunctions ⋮ On the map of Bökstedt-Madsen from the cobordism category to \(A\)-theory ⋮ Internal languages of finitely complete \((\infty , 1)\)-categories ⋮ Algebraic \(K\)-theory and abstract homotopy theory ⋮ Homotopy groups of cubical sets ⋮ A universal characterization of higher algebraic \(K\)-theory ⋮ Moduli spaces of algebras over nonsymmetric operads ⋮ Adjoint functor theorems for ∞‐categories ⋮ Principal \(\infty\)-bundles: presentations ⋮ Indexed type theories ⋮ On the relation between K- and L-theory of \(C^*\)-algebras ⋮ A note on \(K\)-theory and triangulated derivators ⋮ Catégories dérivables ⋮ Non-connective K-theory via universal invariants ⋮ On the algebraicK-theory of higher categories ⋮ Model structures on categories of models of type theories ⋮ Dévissage for Waldhausen \(K\)-theory

Cites Work

• Simplicial localizations of categories
• Calculating simplicial localizations
• Hammock localization in Waldhausen categories
• On the algebraic \(K\)-theory of model categories
• \(K\)-theory and derived equivalences
• Negative \(K\)-theory of derived categories
• Higher algebraic K-theory: I
• Abstract homotopy theory and generalized sheaf cohomology

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