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gptkbp:instanceOf
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gptkb:mathematical_concept
|
|
gptkbp:appliesTo
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gptkb:Algebraic_varieties
gptkb:C*-algebras
gptkb:Topological_spaces
Rings
|
|
gptkbp:field
|
gptkb:Algebraic_topology
gptkb:Operator_algebras
gptkb:Algebraic_geometry
Homological algebra
|
|
gptkbp:hasSubfield
|
gptkb:Algebraic_K-theory
gptkb:Hermitian_K-theory
gptkb:Higher_K-theory
gptkb:Topological_K-theory
gptkb:Mathematics
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
K-theory
|
|
gptkbp:introduced
|
gptkb:Friedrich_Hirzebruch
gptkb:Michael_Atiyah
gptkb:Alexander_Grothendieck
|
|
gptkbp:introducedIn
|
1950s
|
|
gptkbp:notableAchievement
|
gptkb:Algebraic_K-theory_of_fields
gptkb:Algebraic_K-theory_of_rings
gptkb:Algebraic_K-theory_of_schemes
gptkb:Bott_periodicity_theorem
gptkb:Connective_K-theory
gptkb:Equivariant_K-theory
gptkb:Hermitian_K-theory
gptkb:K-theory_of_C*-algebras
gptkb:K-theory_of_operator_algebras
gptkb:K_0_group
gptkb:K_1_group
gptkb:K_2_group
gptkb:Karoubi's_K-theory
gptkb:Milnor_K-theory
gptkb:Motivic_K-theory
gptkb:Negative_K-theory
gptkb:Quillen's_higher_K-theory
gptkb:Serre–Swan_theorem
gptkb:Topological_K-theory_of_spaces
gptkb:Twisted_K-theory
gptkb:Whitehead_group
gptkb:Atiyah–Singer_index_theorem
|
|
gptkbp:notableFor
|
gptkb:Algebraic_cycles
gptkb:Algebraic_topology
gptkb:Index_theory
gptkb:Number_theory
gptkb:Algebraic_geometry
gptkb:string_theory
gptkb:Condensed_matter_physics
Algebraic cycles on schemes
Algebraic cycles on varieties
Classification of C*-algebras
Classification of vector bundles
D-brane charges
Homotopy theory
Motivic homotopy theory
Noncommutative geometry
Topological phases of matter
|
|
gptkbp:relatedTo
|
gptkb:Bott_periodicity
gptkb:Chern_character
gptkb:Index_theorem
gptkb:Atiyah–Hirzebruch_spectral_sequence
gptkb:Grothendieck_group
|
|
gptkbp:studies
|
gptkb:C*-algebras
gptkb:Projective_modules
gptkb:Vector_bundles
|
|
gptkbp:bfsParent
|
gptkb:Michael_Atiyah
gptkb:Peter_Teichner
|
|
gptkbp:bfsLayer
|
4
|