Adams' theorem on Hopf invariant one
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
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| gptkbp:field |
gptkb:topology
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| https://www.w3.org/2000/01/rdf-schema#label |
Adams' theorem on Hopf invariant one
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| gptkbp:implies |
The only real division algebras are of dimension 1, 2, 4, and 8.
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| gptkbp:namedAfter |
gptkb:J._F._Adams
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| gptkbp:provenBy |
gptkb:J._F._Adams
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| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
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| 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.
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| gptkbp:yearProved |
1960
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| gptkbp:bfsParent |
gptkb:Hopf_invariant
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| gptkbp:bfsLayer |
6
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