Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
C^ functions
C^k functions |
| gptkbp:describes |
extension of functions defined on closed subsets of Euclidean space
|
| gptkbp:field |
mathematical analysis
differential topology |
| https://www.w3.org/2000/01/rdf-schema#label |
Whitney extension theorem
|
| gptkbp:namedAfter |
gptkb:Hassler_Whitney
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:Borel's_theorem
gptkb:Whitney's_embedding_theorem |
| gptkbp:state |
Given a function defined on a closed subset of R^n, there exists a function of the same smoothness on R^n extending it
|
| gptkbp:yearProposed |
1934
|
| gptkbp:bfsParent |
gptkb:Hassler_Whitney
|
| gptkbp:bfsLayer |
5
|