|
gptkbp:instanceOf
|
gptkb:logic
|
|
gptkbp:appliesTo
|
rings
topological spaces
schemes
|
|
gptkbp:field
|
gptkb:algebraic_K-theory
|
|
gptkbp:generalizes
|
gptkb:Grothendieck_group
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Higher K-theory
|
|
gptkbp:introduced
|
gptkb:Daniel_Quillen
|
|
gptkbp:introducedIn
|
1972
|
|
gptkbp:notableAchievement
|
gptkb:Milnor_K-theory
gptkb:Beilinson–Lichtenbaum_conjecture
gptkb:Bass–Quillen_conjecture
gptkb:Fundamental_theorem_of_algebraic_K-theory
gptkb:Gersten_conjecture
gptkb:Quillen–Lichtenbaum_conjecture
gptkb:Bloch–Lichtenbaum_spectral_sequence
gptkb:Devissage_theorem
Localization theorem
Resolution theorem
|
|
gptkbp:notableFor
|
gptkb:algebraic_geometry
gptkb:topology
gptkb:motivic_homotopy_theory
algebraic number theory
arithmetic geometry
class field theory
regulators
algebraic cycles
motivic cohomology
topological K-theory
algebraic vector bundles
|
|
gptkbp:notableIdea
|
gptkb:Quillen_Q-construction
gptkb:K-groups
gptkb:K_0
gptkb:K_1
gptkb:K_2
gptkb:K_n
plus construction
|
|
gptkbp:relatedTo
|
gptkb:algebraic_geometry
gptkb:topology
number theory
homotopy theory
|
|
gptkbp:studies
|
gptkb:higher_algebraic_K-groups
|
|
gptkbp:uses
|
Waldhausen categories
exact categories
spectra
|
|
gptkbp:bfsParent
|
gptkb:K-theory
|
|
gptkbp:bfsLayer
|
5
|