Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:algebraic_K-theory
algebraic cycles motivic cohomology classification of vector bundles topological K-theory study of algebraic cycles |
| gptkbp:field |
gptkb:algebraic_K-theory
|
| gptkbp:firstKGroup |
gptkb:K_0
|
| gptkbp:generalizes |
gptkb:Grothendieck_group
|
| https://www.w3.org/2000/01/rdf-schema#label |
K-groups
|
| gptkbp:introduced |
gptkb:Alexander_Grothendieck
|
| gptkbp:notation |
K_n(R)
|
| gptkbp:relatedTo |
gptkb:vector_bundles
gptkb:higher_algebraic_K-theory homotopy theory projective modules exact sequences |
| gptkbp:secondKGroup |
gptkb:K_1
|
| gptkbp:studiedIn |
gptkb:category_theory
homological algebra |
| gptkbp:thirdKGroup |
gptkb:K_2
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:topology number theory |
| gptkbp:bfsParent |
gptkb:Higher_K-theory
gptkb:K-theory_of_C*-algebras gptkb:higher_K-theory |
| gptkbp:bfsLayer |
6
|