|
gptkbp:instanceOf
|
gptkb:cohomology_theory
|
|
gptkbp:coefficientRing
|
integers
|
|
gptkbp:field
|
gptkb:mathematics
gptkb:topology
|
|
gptkbp:firstDefined
|
1950s
|
|
gptkbp:generalizes
|
gptkb:Grothendieck_group
|
|
gptkbp:hasHomotopyGroups
|
periodic of period 2
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
complex K-theory
|
|
gptkbp:inventedBy
|
gptkb:Friedrich_Hirzebruch
gptkb:Michael_Atiyah
|
|
gptkbp:notation
|
K(X)
|
|
gptkbp:relatedTo
|
gptkb:Bott_periodicity
gptkb:Chern_character
gptkb:Atiyah–Singer_index_theorem
gptkb:K-homology
gptkb:real_K-theory
gptkb:twisted_K-theory
operator algebras
topological insulators
Adams operations
vector bundle
equivariant K-theory
topological K-theory
|
|
gptkbp:satisfies
|
gptkb:Bott_periodicity_theorem
|
|
gptkbp:spectrumOfActivity
|
BU × ℤ
|
|
gptkbp:studies
|
isomorphism classes of complex vector bundles
|
|
gptkbp:usedIn
|
gptkb:algebraic_geometry
homotopy theory
index theorem
|
|
gptkbp:bfsParent
|
gptkb:Connective_K-theory
gptkb:Topological_K-theory
gptkb:Topological_K-theory_of_spaces
|
|
gptkbp:bfsLayer
|
6
|