Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:describes |
non-existence of elements of Hopf invariant one
|
| gptkbp:field |
gptkb:topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Adams' theorem
|
| gptkbp:implies |
classification of real division algebras
|
| gptkbp:namedAfter |
gptkb:J._F._Adams
|
| gptkbp:provenBy |
gptkb:J._F._Adams
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:Hopf_invariant
division algebras vector fields on spheres |
| gptkbp:state |
The only spheres with Hopf invariant one are in dimensions 1, 2, 4, and 8.
|
| gptkbp:yearProved |
1960
|
| gptkbp:bfsParent |
gptkb:Hopf_invariant_one_problem
|
| gptkbp:bfsLayer |
7
|