Whitney embedding theorem

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo smooth manifolds
gptkbp:author gptkb:Hassler_Whitney
gptkbp:field differential topology
https://www.w3.org/2000/01/rdf-schema#label Whitney embedding theorem
gptkbp:minimumEmbeddingDimension 2n
gptkbp:namedAfter gptkb:Hassler_Whitney
gptkbp:publicationYear 1944
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:relatedTo gptkb:Whitney_immersion_theorem
Nash embedding theorem
gptkbp:significance establishes that every smooth manifold can be realized as a submanifold of Euclidean space
gptkbp:state Any smooth n-dimensional manifold can be embedded in 2n-dimensional Euclidean space
gptkbp:bfsParent gptkb:Hassler_Whitney
gptkbp:bfsLayer 5