connective K-theory spectrum ku
GPTKB entity
Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:cohomology_theory
spectrum (algebraic topology) |
| gptkbp:abbreviation |
gptkb:connective_complex_K-theory
|
| gptkbp:connectsTo |
gptkb:K-theory_spectrum_KU
|
| gptkbp:hasCoefficientRing |
ℤ[u], |u|=2
|
| gptkbp:hasHomotopyGroups |
π_0(ku) = ℤ
π_2(ku) = ℤ π_n(ku) = 0 for n < 0 π_{2n+1}(ku) = 0 for n ≥ 0 π_{2n}(ku) = ℤ for n ≥ 0 |
| gptkbp:hasMultiplicativeStructure |
commutative ring spectrum
|
| https://www.w3.org/2000/01/rdf-schema#label |
connective K-theory spectrum ku
|
| gptkbp:isConnectiveCoverOf |
gptkb:K-theory_spectrum_KU
|
| gptkbp:mapType |
gptkb:K-theory_spectrum_KU
|
| gptkbp:relatedTo |
topological K-theory
|
| gptkbp:represents |
gptkb:connective_complex_K-theory
|
| gptkbp:usedIn |
gptkb:topology
stable homotopy theory |
| gptkbp:bfsParent |
gptkb:Connective_K-theory
|
| gptkbp:bfsLayer |
6
|