Hopf invariant one problem

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:concerns gptkb:Hopf_invariant
spheres
continuous maps between spheres
gptkbp:field gptkb:topology
https://www.w3.org/2000/01/rdf-schema#label Hopf invariant one problem
gptkbp:namedAfter gptkb:Heinz_Hopf
gptkbp:relatedTo gptkb:Adams'_theorem
division algebras
vector fields on spheres
gptkbp:result Only spheres of dimension 1, 3, and 7 admit maps of Hopf invariant one
gptkbp:solvedBy gptkb:J._F._Adams
gptkbp:yearSolved 1960
gptkbp:bfsParent gptkb:Hopf_invariant
gptkbp:bfsLayer 6