Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
gptkb:geometry
mathematical analysis |
| gptkbp:concerns |
minimum area of a set in which a needle of unit length can be rotated through 360 degrees
|
| gptkbp:field |
gptkb:mathematics
analysis geometric measure theory |
| gptkbp:firstPosed |
1917
|
| gptkbp:generalizes |
higher dimensions
|
| gptkbp:hasConjecture |
gptkb:Kakeya_conjecture
|
| gptkbp:hasSolutionIn2D |
Besicovitch set has zero area
|
| gptkbp:hasSolutionIn3D |
open problem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Kakeya problem
|
| gptkbp:influenced |
harmonic analysis
incidence geometry additive combinatorics |
| gptkbp:namedAfter |
gptkb:Soichi_Kakeya
|
| gptkbp:openProblem |
dimension of Kakeya sets in higher dimensions
|
| gptkbp:relatedTo |
gptkb:Besicovitch_set
gptkb:Kakeya_set |
| gptkbp:solvedBy |
gptkb:Abram_Besicovitch
|
| gptkbp:bfsParent |
gptkb:Thomas_Wolff
|
| gptkbp:bfsLayer |
5
|