gptkbp:instanceOf
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gptkb:cohomology_theory
spectrum (algebraic topology)
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gptkbp:Bott_element
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periodicity generator in π_2
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gptkbp:builtBy
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gptkb:Friedrich_Hirzebruch
gptkb:Michael_Atiyah
gptkb:Raoul_Bott
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gptkbp:category
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stable homotopy theory
|
gptkbp:coefficients
|
ℤ
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gptkbp:connectivity
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periodic spectrum
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gptkbp:fullName
|
complex topological K-theory spectrum
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gptkbp:homotopy_group_π_0
|
ℤ
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gptkbp:homotopy_group_π_2
|
ℤ
|
gptkbp:homotopy_group_π_n
|
0 for odd n
|
gptkbp:homotopy_groups
|
gptkb:Bott_periodicity
|
https://www.w3.org/2000/01/rdf-schema#label
|
K-theory spectrum KU
|
gptkbp:mapType
|
gptkb:Eilenberg–MacLane_spectrum
KO spectrum
|
gptkbp:relatedTo
|
gptkb:Bott_periodicity_theorem
gptkb:real_K-theory_spectrum_KO
topological K-theory
|
gptkbp:represents
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gptkb:complex_K-theory
|
gptkbp:usedIn
|
gptkb:algebraic_geometry
gptkb:topology
homotopy theory
|
gptkbp:相关理论
|
gptkb:algebraic_K-theory
gptkb:Thom_spectrum
gptkb:complex_cobordism
gptkb:Morava_K-theory
Adams operations
formal group law
|
gptkbp:bfsParent
|
gptkb:connective_K-theory_spectrum_ku
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gptkbp:bfsLayer
|
7
|