Raoul Bott periodicity theorem
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:orthogonal_groups
gptkb:symplectic_groups gptkb:unitary_groups |
| gptkbp:describes |
periodicity in homotopy groups of classical groups
|
| gptkbp:field |
gptkb:topology
homotopy theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Raoul Bott periodicity theorem
|
| gptkbp:influenced |
gptkb:K-theory
stable homotopy theory |
| gptkbp:namedAfter |
gptkb:Raoul_Bott
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:Atiyah–Bott_fixed-point_theorem
gptkb:Bott–Chern_cohomology gptkb:Bott–Samelson_theorem gptkb:Clifford_algebras |
| gptkbp:state |
homotopy groups of unitary groups repeat every 2 dimensions
homotopy groups of orthogonal groups repeat every 8 dimensions |
| gptkbp:yearProved |
1957
|
| gptkbp:bfsParent |
gptkb:Raoul_Bott
|
| gptkbp:bfsLayer |
6
|