Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:appliesTo |
algebraic varieties
rings schemes |
| gptkbp:basisFor |
gptkb:Grothendieck_group
gptkb:K-functor gptkb:K0_functor gptkb:K1_functor gptkb:K2_functor |
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:topology |
| gptkbp:focusesOn |
gptkb:vector_bundles
coherent sheaves |
| gptkbp:generalizes |
topological K-theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Grothendieck's K-theory
|
| gptkbp:influenced |
gptkb:Quillen's_higher_K-theory
gptkb:topology gptkb:motivic_homotopy_theory number theory representation theory algebraic cycles theory |
| gptkbp:inspiredBy |
gptkb:algebraic_K-theory
|
| gptkbp:introduced |
gptkb:Alexander_Grothendieck
|
| gptkbp:introducedIn |
1950s
|
| gptkbp:relatedTo |
gptkb:higher_K-theory
K0 group K1 group K2 group |
| gptkbp:usedIn |
gptkb:Riemann-Roch_theorem
algebraic cycles motivic cohomology |
| gptkbp:bfsParent |
gptkb:Karoubi's_K-theory
|
| gptkbp:bfsLayer |
6
|