Statements (62)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematics
|
| gptkbp:appliesTo |
Algebraic_geometry
|
| gptkbp:developedBy |
Alexander Grothendieck
|
| gptkbp:hasClient |
Representation theory
|
| gptkbp:hasHistoricalSignificance |
Class field theory
|
| gptkbp:hasRelatedPatent |
Number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Algebraic K-theory
|
| gptkbp:includesProvisionsFor |
Category theory
|
| gptkbp:is_studied_in |
Algebraic varieties
Rings of integers |
| gptkbp:isAssociatedWith |
Spectral sequences
|
| gptkbp:isAvenueFor |
Mathematical logic
Statistical mechanics Mathematical physics Computational algebra Algebraic_topology Homotopical_algebra |
| gptkbp:isCharacterizedBy |
K-theory spectra
|
| gptkbp:isConnectedTo |
Geometric topology
Geometric analysis Derived categories Homotopy groups Noncommutative geometry Stable homotopy theory Algebraic_topology Motivic_homotopy_theory |
| gptkbp:isConsidered |
Vector bundles
|
| gptkbp:isInfluencedBy |
Category theory
Set theory Topology Functional analysis Homological algebra Algebraic_topology |
| gptkbp:isInvolvedIn |
Arithmetic geometry
|
| gptkbp:isPartOf |
Abstract algebra
Higher algebra Mathematical_theory Algebraic_structures |
| gptkbp:isRelatedTo |
Cohomology
Functoriality Mathematical structures Modern algebra Homotopy theory Cohomological dimension Cohomological methods Stable K-theory Algebraic_topology |
| gptkbp:isStudiedIn |
Mathematicians
Theoretical mathematics Mathematical research Theoretical physicists Research mathematics Algebraic_topology Algebraic_topologists |
| gptkbp:isUsedBy |
Topological spaces
Projective modules Algebraic_cycles |
| gptkbp:isUsedIn |
gptkb:Topological_K-theory
Mathematical modeling Invariant theory Geometric representation theory |
| gptkbp:research |
K-groups
|