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gptkbp:instanceOf
|
gptkb:mathematical_concept
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gptkbp:appliesTo
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Rings
Schemes
Manifolds
|
|
gptkbp:field
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gptkb:Algebraic_topology
gptkb:Algebraic_geometry
gptkb:Abstract_algebra
|
|
gptkbp:hasSubfield
|
gptkb:Algebraic_K-theory
gptkb:Hermitian_K-theory
gptkb:Higher_K-theory
gptkb:Topological_K-theory
|
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gptkbp:hasWikipediaPage
|
https://en.wikipedia.org/wiki/K-theory
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|
https://www.w3.org/2000/01/rdf-schema#label
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K-Theory
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gptkbp:introduced
|
gptkb:Michael_Atiyah
gptkb:Alexander_Grothendieck
|
|
gptkbp:introducedIn
|
1950s
|
|
gptkbp:notableAchievement
|
gptkb:K_0_group
gptkb:K_1_group
gptkb:K_2_group
gptkb:Milnor_K-theory
gptkb:Serre–Swan_theorem
gptkb:Whitehead_group
gptkb:Karoubi–Villamayor_K-theory
gptkb:Atiyah–Hirzebruch_spectral_sequence
gptkb:Grothendieck_group
gptkb:Bass–Quillen_conjecture
gptkb:Quillen's_Q-construction
Higher K-groups
|
|
gptkbp:notableFor
|
gptkb:Algebraic_cycles
gptkb:Algebraic_topology
gptkb:quantum_field_theory
gptkb:Algebraic_geometry
gptkb:string_theory
gptkb:Algebraic_number_theory
gptkb:Index_theory_of_elliptic_operators
Mathematical physics
Classification of vector bundles
Homotopy theory
Motivic homotopy theory
Noncommutative geometry
C*-algebra classification
D-brane classification
Stable homotopy theory
Topology of manifolds
|
|
gptkbp:notablePerson
|
gptkb:Jean-Louis_Verdier
gptkb:Stephen_Lichtenbaum
gptkb:John_Milnor
gptkb:Andrei_Suslin
gptkb:Vladimir_Voevodsky
gptkb:Max_Karoubi
gptkb:Hyman_Bass
gptkb:Daniel_Quillen
gptkb:Friedhelm_Waldhausen
gptkb:Charles_Weibel
|
|
gptkbp:notablePublication
|
gptkb:K-Theory_(journal)
|
|
gptkbp:relatedTo
|
gptkb:Algebraic_cycles
gptkb:Bott_periodicity
gptkb:Index_theorem
gptkb:Motivic_cohomology
Homotopy theory
|
|
gptkbp:studies
|
gptkb:C*-algebras
gptkb:Projective_modules
gptkb:Vector_bundles
|
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gptkbp:bfsParent
|
gptkb:David_Atiyah
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gptkbp:bfsLayer
|
5
|