|
gptkbp:instanceOf
|
gptkb:mathematical_concept
|
|
gptkbp:application
|
gptkb:motivic_homotopy_theory
algebraic cycles
classification of vector bundles
study of quadratic forms
|
|
gptkbp:developedBy
|
gptkb:John_Milnor
gptkb:Daniel_Quillen
|
|
gptkbp:field
|
gptkb:algebra
gptkb:algebraic_geometry
gptkb:topology
|
|
gptkbp:hasConcept
|
K0 group
K1 group
K2 group
higher K-groups
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Algebraic K-theory
|
|
gptkbp:introduced
|
gptkb:Alexander_Grothendieck
|
|
gptkbp:notableAchievement
|
gptkb:Algebraic_K-theory_of_fields
gptkb:Algebraic_K-theory_of_rings
gptkb:Algebraic_K-theory_of_schemes
gptkb:Milnor_K-theory
gptkb:Farrell–Jones_conjecture
gptkb:Karoubi–Villamayor_K-theory
gptkb:Waldhausen_K-theory
gptkb:Bass–Quillen_conjecture
gptkb:Fundamental_theorem_of_algebraic_K-theory
gptkb:Gersten_conjecture
gptkb:Quillen's_Q-construction
gptkb:Quillen–Lichtenbaum_conjecture
gptkb:Algebraic_K-theory_of_C*-algebras
gptkb:Algebraic_K-theory_of_exact_categories
gptkb:Algebraic_K-theory_of_finite_fields
gptkb:Algebraic_K-theory_of_number_fields
gptkb:Algebraic_K-theory_of_topological_spaces
gptkb:Algebraic_K-theory_of_triangulated_categories
gptkb:Bloch–Lichtenbaum_spectral_sequence
gptkb:Suslin_rigidity_theorem
Algebraic K-theory of E-infinity ring spectra
Algebraic K-theory of algebraic K-theory
Algebraic K-theory of algebraic stacks
Algebraic K-theory of derived categories
Algebraic K-theory of dg-categories
Algebraic K-theory of elliptic curves
Algebraic K-theory of group rings
Algebraic K-theory of infinity categories
Algebraic K-theory of local fields
Algebraic K-theory of motivic spectra
Algebraic K-theory of singularities
Algebraic K-theory of structured ring spectra
Algebraic K-theory of surfaces
Algebraic K-theory of topological K-theory
|
|
gptkbp:relatedTo
|
gptkb:topology
homological algebra
motivic cohomology
higher category theory
|
|
gptkbp:studies
|
gptkb:vector_bundles
rings
schemes
projective modules
|
|
gptkbp:bfsParent
|
gptkb:K-theory
|
|
gptkbp:bfsLayer
|
5
|