Statements (18)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:defines |
A subset of n-dimensional Euclidean space in which a unit line segment can be rotated through 360 degrees
|
gptkbp:dimensions |
has Hausdorff dimension n in n-dimensional space
|
gptkbp:field |
gptkb:geometry
gptkb:mathematics analysis |
https://www.w3.org/2000/01/rdf-schema#label |
Kakeya set
|
gptkbp:namedAfter |
gptkb:Soichi_Kakeya
|
gptkbp:property |
can have arbitrarily small measure in 2 or more dimensions
in 2D, can have zero area |
gptkbp:relatedTo |
gptkb:Kakeya_needle_problem
gptkb:finite_field_Kakeya_problem gptkb:Besicovitch_set |
gptkbp:studiedBy |
early 20th century
|
gptkbp:studiedIn |
harmonic analysis
geometric measure theory |
gptkbp:bfsParent |
gptkb:Kakeya_problem
|
gptkbp:bfsLayer |
6
|