Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:definedIn |
gptkb:Waldhausen_K-theory
gptkb:Quillen_K-theory |
| gptkbp:field |
gptkb:algebraic_K-theory
gptkb:category_theory homological algebra |
| gptkbp:generalizes |
K-theory of rings
K-theory of exact categories |
| gptkbp:hasApplication |
gptkb:algebraic_geometry
gptkb:topology representation theory |
| gptkbp:hasProperty |
additivity
homotopy invariance localization sequence Morita invariance |
| https://www.w3.org/2000/01/rdf-schema#label |
K-theory of dg-categories
|
| gptkbp:relatedTo |
gptkb:K-theory
triangulated categories stable infinity categories dg-category noncommutative motives |
| gptkbp:studiedBy |
gptkb:Gonçalo_Tabuada
gptkb:Bernhard_Keller |
| gptkbp:surveyedBy |
Handbook of K-theory
arXiv:0903.2184 arXiv:math/0611541 |
| gptkbp:usedIn |
gptkb:motivic_homotopy_theory
noncommutative geometry |
| gptkbp:bfsParent |
gptkb:higher_algebraic_K-theory
|
| gptkbp:bfsLayer |
7
|