Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
unsolved problems in mathematics
|
| gptkbp:dimensions |
gptkb:n-dimensional_Euclidean_space
|
| gptkbp:field |
gptkb:mathematics
harmonic analysis geometric measure theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Kakeya conjecture
|
| gptkbp:implies |
Bochner-Riesz conjecture
Falconer's distance set conjecture Sogge's local smoothing conjecture restriction conjecture |
| gptkbp:namedAfter |
gptkb:Soichi_Kakeya
|
| gptkbp:proposedBy |
gptkb:Soichi_Kakeya
|
| gptkbp:relatedTo |
gptkb:Besicovitch_set
gptkb:Kakeya_set |
| gptkbp:sentence |
Every Besicovitch set in n-dimensional Euclidean space has Hausdorff dimension n.
|
| gptkbp:status |
open
|
| gptkbp:yearProposed |
1917
|
| gptkbp:bfsParent |
gptkb:Kakeya_problem
gptkb:Nets_Katz |
| gptkbp:bfsLayer |
6
|