Adams' theorem on Hopf invariant one
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:implies |
The only real division algebras are of dimension 1, 2, 4, and 8.
|
| gptkbp:namedAfter |
gptkb:J._F._Adams
|
| gptkbp:provenBy |
gptkb:J._F._Adams
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:division
gptkb:Hopf_invariant spheres |
| gptkbp:state |
The only spheres that admit maps of Hopf invariant one are S^1, S^3, and S^7.
|
| gptkbp:yearProved |
1960
|
| gptkbp:bfsParent |
gptkb:Hopf_invariant
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Adams' theorem on Hopf invariant one
|