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gptkbp:instanceOf
|
gptkb:logic
|
|
gptkbp:appliesTo
|
topological spaces
compact spaces
locally compact spaces
|
|
gptkbp:field
|
gptkb:mathematics
gptkb:topology
|
|
gptkbp:generalizes
|
gptkb:K-theory_of_C*-algebras
gptkb:operator_K-theory
gptkb:topological_cyclic_homology
gptkb:algebraic_K-theory
gptkb:topological_modular_forms
gptkb:K-theory_spectrum
gptkb:KK-theory
gptkb:KO-theory
gptkb:KQ-theory
gptkb:KR-theory
gptkb:bivariant_K-theory
gptkb:bivariant_cyclic_theory
gptkb:connective_K-theory
gptkb:topological_Hochschild_homology
gptkb:twisted_K-theory
noncommutative geometry
equivariant K-theory
motivic cohomology
Kasparov theory
|
|
gptkbp:hasInvariant
|
gptkb:K-group
|
|
gptkbp:hasVariant
|
gptkb:complex_K-theory
gptkb:real_K-theory
equivariant K-theory
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Topological K-theory
|
|
gptkbp:introduced
|
gptkb:Friedrich_Hirzebruch
gptkb:Michael_Atiyah
gptkb:Alexander_Grothendieck
|
|
gptkbp:introducedIn
|
1950s
|
|
gptkbp:notableAchievement
|
gptkb:Bott_periodicity
gptkb:Atiyah–Hirzebruch_spectral_sequence
gptkb:Künneth_theorem_in_K-theory
gptkb:Thom_isomorphism_theorem
|
|
gptkbp:notableFor
|
gptkb:string_theory
gptkb:D-branes
condensed matter physics
index theory
topological phases of matter
operator algebras
classification of vector bundles
|
|
gptkbp:relatedTo
|
gptkb:Bott_periodicity_theorem
gptkb:Chern_character
gptkb:Atiyah–Singer_index_theorem
gptkb:algebraic_K-theory
|
|
gptkbp:studies
|
gptkb:vector_bundles
|
|
gptkbp:uses
|
gptkb:Grothendieck_group_construction
homotopy theory
classifying spaces
spectra
|
|
gptkbp:bfsParent
|
gptkb:K-theory
|
|
gptkbp:bfsLayer
|
5
|