Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Banach_spaces
|
| gptkbp:field |
gptkb:geometry
functional analysis |
| gptkbp:influenced |
asymptotic geometric analysis
|
| gptkbp:namedAfter |
gptkb:Aryeh_Dvoretzky
|
| gptkbp:publishedIn |
gptkb:Proceedings_of_the_National_Academy_of_Sciences
|
| gptkbp:relatedTo |
gptkb:Banach–Mazur_distance
high-dimensional geometry concentration of measure |
| gptkbp:sentence |
Every high-dimensional normed space has nearly Euclidean subspaces of dimension depending on the degree of approximation.
|
| gptkbp:yearProposed |
1961
|
| gptkbp:bfsParent |
gptkb:Aryeh_Dvoretzky
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Dvoretzky's theorem
|