\(K\)-theory for 2-categories
From MaRDI portal
Publication:1678146
DOI10.1016/j.aim.2017.10.011zbMath1394.18003arXiv1503.07824OpenAlexW1916874979MaRDI QIDQ1678146
Niles Johnson, Nick Gurski, Angélica M. Osorno
Publication date: 14 November 2017
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.07824
Abstract and axiomatic homotopy theory in algebraic topology (55U35) Symmetric monoidal categories (19D23)
Related Items (5)
Multifunctorial \(K\)-theory is an equivalence of homotopy theories ⋮ Unnamed Item ⋮ The 2-dimensional stable homotopy hypothesis ⋮ 2-categorical opfibrations, Quillen's Theorem B, and \(S^{-1}S\) ⋮ Multifunctorial inverse \(K\)-theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectra associated to symmetric monoidal bicategories
- Classifying spaces for braided monoidal categories and lax diagrams of bicategories
- An inverse \(K\)-theory functor
- A characterization of simplicial localization functors and a discussion of DK equivalences
- Nerves and classifying spaces for bicategories
- A model structure à la Thomason on 2-Cat
- Icons
- Two-dimensional monad theory
- Calculating simplicial localizations
- Generalized centers of braided and sylleptic monoidal 2-categories
- Extending homotopy theories across adjunctions
- A Quillen model structure for bicategories
- Formal category theory: Adjointness for 2-categories
- Categories and cohomology theories
- Codescent objects and coherence
- A Quillen model structure for 2-categories
- Infinite loop spaces, and coherence for symmetric monoidal bicategories
- Towards a Thomason model structure on the category of strict \(n\)-categories
- On coherent algebras and strict algebras
- The geometry of iterated loop spaces
- Towards an axiomatization of the theory of higher categories
- Biequivalences in tricategories
- Modeling Stable One-Types
- Stable bundles over rig categories
- A model for the homotopy theory of homotopy theory
- Coherence for tricategories
- Coherence in Three-Dimensional Category Theory
- Iterated icons
- Bicategorical homotopy pullbacks
This page was built for publication: \(K\)-theory for 2-categories
