Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
geometric set |
| gptkbp:alsoKnownAs |
gptkb:Kakeya_set
|
| gptkbp:dimensions |
Hausdorff dimension 2 in the plane
|
| gptkbp:firstConstructedBy |
gptkb:Abram_Besicovitch
|
| gptkbp:hasProperty |
contains a unit line segment in every direction
can be constructed in the Euclidean plane can have arbitrarily small Lebesgue measure example of a set with full dimension but zero measure |
| https://www.w3.org/2000/01/rdf-schema#label |
Besicovitch set
|
| gptkbp:namedAfter |
gptkb:Abram_Besicovitch
|
| gptkbp:relatedTo |
gptkb:Kakeya_set
|
| gptkbp:studiedIn |
harmonic analysis
geometric measure theory |
| gptkbp:bfsParent |
gptkb:Kakeya_problem
|
| gptkbp:bfsLayer |
6
|