connective complex K-theory spectrum ku
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:cohomology_theory
spectrum (algebraic topology) |
| gptkbp:abbreviation |
ku
|
| gptkbp:category |
spectra
|
| gptkbp:connectsTo |
periodic complex K-theory spectrum KU
|
| gptkbp:hasAdamsSummand |
ell (at odd primes)
|
| gptkbp:hasAssociatedCohomologyTheory |
gptkb:connective_K-theory
|
| gptkbp:hasBottElement |
u in degree 2
|
| gptkbp:hasChromaticLevel |
1
|
| gptkbp:hasCoefficientRing |
Z[u], |u|=2
|
| gptkbp:hasEilenbergMacLaneSpectrum |
HZ
|
| gptkbp:hasMultiplicativeStructure |
commutative ring spectrum
|
| gptkbp:homotopy_groups |
Z in even degrees, 0 in odd degrees
|
| https://www.w3.org/2000/01/rdf-schema#label |
connective complex K-theory spectrum ku
|
| gptkbp:isConnective |
true
|
| gptkbp:isConnectiveCoverOf |
gptkb:KU
|
| gptkbp:namedFor |
gptkb:Friedrich_Hirzebruch
gptkb:Michael_Atiyah |
| gptkbp:relatedTo |
gptkb:Bott_periodicity
gptkb:complex_K-theory |
| gptkbp:usedIn |
stable homotopy theory
|
| gptkbp:bfsParent |
gptkb:connective_real_K-theory_spectrum_ko
|
| gptkbp:bfsLayer |
7
|