On the algebraicK-theory of higher categories
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Publication:2797321
DOI10.1112/jtopol/jtv042zbMath1364.19001arXiv1204.3607OpenAlexW1951461733MaRDI QIDQ2797321
Publication date: 5 April 2016
Published in: Journal of Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.3607
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Related Items (34)
Detecting 𝛽 elements in iterated algebraic K-theory ⋮ Integral models for spaces via the higher Frobenius ⋮ On the algebraic K-theory of double points ⋮ Enhancing the filtered derived category ⋮ Waldhausen additivity: classical and quasicategorical ⋮ Model \(\infty\)-categories. III: The fundamental theorem ⋮ Projectivity of the Witt vector affine Grassmannian ⋮ Descent in algebraic \(K\)-theory and a conjecture of Ausoni-Rognes ⋮ On distributivity in higher algebra I: the universal property of bispans ⋮ The fundamental theorem of localizing invariants ⋮ \(K\)-theory and \(G\)-theory of derived algebraic stacks ⋮ A multiplicative comparison of Segal and Waldhausen \(K\)-theory ⋮ Localization for 𝑇𝐻𝐻(𝑘𝑢) and the Topological Hochschild and Cyclic Homology of Waldhausen Categories ⋮ Deformation theory of perfect complexes and traces ⋮ A universal characterization of higher algebraic \(K\)-theory ⋮ The $K$-theory spectrum of varieties ⋮ Determinant map for the prestack of Tate objects ⋮ \(K\)-theory and the bridge from motives to noncommutative motives ⋮ Adjoint functor theorems for ∞‐categories ⋮ Modules over algebraic cobordism ⋮ $K$-theoretic obstructions to bounded $t$-structures ⋮ 2-Segal objects and the Waldhausen construction ⋮ Higher traces, noncommutative motives, and the categorified Chern character ⋮ 2-Segal sets and the Waldhausen construction ⋮ Spectral Mackey functors and equivariant algebraic \(K\)-theory. II. ⋮ Topological Hochschild homology and higher characteristics ⋮ The homotopy theory of type theories ⋮ Derived loop stacks and categorification of orbifold products ⋮ The edgewise subdivision criterion for 2-Segal objects ⋮ Comparison of Waldhausen constructions ⋮ Shortening binary complexes and commutativity of K-theory with infinite products ⋮ Twisted iterated algebraic \(K\)-theory and topological T-duality for sphere bundles ⋮ Derived \(\ell\)-adic zeta functions ⋮ Theorem of the heart in negative \(K\)-theory for weight structures
Cites Work
- Homotopical algebraic geometry. I: Topos theory
- Algebraic \(K\)-theory and abstract homotopy theory
- Relative categories: another model for the homotopy theory of homotopy theories
- Three models for the homotopy theory of homotopy theories
- The localization sequence for the algebraic \(K\)-theory of topological \(K\) -theory
- Higher \(K\)-theory via universal invariants
- On fundamental theorems of algebraic K-theory
- Function complexes in homotopical algebra
- Simplicial localizations of categories
- Calculating simplicial localizations
- Calculus. II: Analytic functors
- \(K\)-theory for triangulated categories. II: The subtlety of the theory and potential pitfalls
- \(K\)-theory for triangulated categories. III(A): The theorem of the heart
- \(K\)-theory for triangulated categories. I(B): Homological functors
- \(K\)-theory for triangulated categories. I(A): Homological functors
- A note on \(K\)-theory and triangulated categories
- Calculus. III: Taylor series
- \(K\)-theory for triangulated categories. \(3\frac 12(A)\): A detailed proof of the theorem of homological functors
- \(K\)-theory for triangulated categories. \(3\frac 12(B)\): A detailed proof of the theorem of homological functors
- \(K\)-theory for triangulated categories. III(B): The theorem of the heart
- Algebraic \(K\)-theory of topological \(K\)-theory
- Riemann-Roch theorems for Deligne-Mumford stacks
- Calculus. I: The first derivative of pseudoisotopy theory
- Categories and cohomology theories
- Homotopy invariant algebraic structures on topological spaces
- Higher intersection theory on algebraic stacks. I
- Higher intersection theory on algebraic stacks. II
- A universal characterization of higher algebraic \(K\)-theory
- On fundamental theorems of algebraic \(K\)-theory
- Uniqueness of the multiplicative cyclotomic trace
- Rings, modules, and algebras in infinite loop space theory
- Towards an axiomatization of the theory of higher categories
- Derived Koszul duality and involutions in the algebraic K -theory of spaces
- Invariance de laK-Théorie par équivalences dérivées
- La théorie des classes de Chern
- A Survey of (∞, 1)-Categories
- A model category structure on the category of simplicial categories
- On exact -categories and the Theorem of the Heart
- Complete Segal spaces arising from simplicial categories
- Towers of MU-Algebras and the Generalized Hopkins–Miller theorem
- A model for the homotopy theory of homotopy theory
- Spaces of PL Manifolds and Categories of Simple Maps (AM-186)
- Homotopical algebraic geometry. II. Geometric stacks and applications
- A characterization of fibrant Segal categories
- Higher Topos Theory (AM-170)
- \(K\)-theory for triangulated categories. \(3\frac {3}{4}\): A direct proof of the theorem of the heart
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