Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:appliesTo |
rings
schemes |
| gptkbp:defines |
higher K-groups
|
| gptkbp:field |
gptkb:algebraic_K-theory
|
| gptkbp:generalizes |
gptkb:Grothendieck_group
|
| gptkbp:hasApplication |
gptkb:algebraic_geometry
gptkb:topology gptkb:motivic_homotopy_theory number theory algebraic cycles |
| https://www.w3.org/2000/01/rdf-schema#label |
Quillen's K-theory
|
| gptkbp:influenced |
gptkb:algebraic_K-theory_of_fields
algebraic cycles motivic cohomology algebraic K-theory of schemes |
| gptkbp:introduced |
gptkb:Daniel_Quillen
|
| gptkbp:introducedIn |
1972
|
| gptkbp:notableAchievement |
gptkb:Quillen's_Q-construction
plus construction |
| gptkbp:relatedTo |
gptkb:algebraic_geometry
gptkb:topology homological algebra |
| gptkbp:uses |
gptkb:category_theory
homotopy theory exact categories |
| gptkbp:bfsParent |
gptkb:Gersten_conjecture
gptkb:Devissage_theorem |
| gptkbp:bfsLayer |
7
|