Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:cohomology_theory
spectrum (algebraic topology) |
| gptkbp:connectsTo |
gptkb:Bott_periodicity
gptkb:AtiyahâHirzebruch_spectral_sequence gptkb:J-homomorphism gptkb:connective_real_K-theory_spectrum_ko gptkb:Clifford_algebras Adams operations complex K-theory spectrum KU stable homotopy groups of spheres |
| gptkbp:hasCohomologyTheory |
gptkb:real_K-theory
|
| gptkbp:homotopyGroups |
Z, Z/2, Z/2, 0, Z, 0, 0, 0 (periodic mod 8)
|
| https://www.w3.org/2000/01/rdf-schema#label |
real K-theory spectrum KO
|
| gptkbp:namedAfter |
gptkb:K-theory
|
| gptkbp:recurrence |
8
|
| gptkbp:relatedTo |
gptkb:Thom_isomorphism
gptkb:vector_bundles gptkb:KO-theory Bott element |
| gptkbp:represents |
real topological K-theory
|
| gptkbp:usedIn |
gptkb:quantum_field_theory
gptkb:topology homotopy theory index theory |
| gptkbp:bfsParent |
gptkb:connective_real_K-theory_spectrum_ko
|
| gptkbp:bfsLayer |
7
|