Statements (24)
| 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:doi |
10.2307/1969915
|
| gptkbp:field |
gptkb:topology
homotopy theory |
| gptkbp:hasProofsOf |
gptkb:Raoul_Bott
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bott periodicity theorem
|
| gptkbp:implies |
homotopy groups of classical groups repeat periodically
|
| gptkbp:influenced |
gptkb:K-theory
stable homotopy theory |
| gptkbp:namedAfter |
gptkb:Raoul_Bott
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:recurrence |
2 for unitary groups
8 for orthogonal and symplectic groups |
| gptkbp:relatedTo |
gptkb:Clifford_algebras
classifying spaces loop spaces |
| gptkbp:yearProved |
1957
|
| gptkbp:bfsParent |
gptkb:K-theory
gptkb:Lie_group |
| gptkbp:bfsLayer |
5
|