Kakeya set

GPTKB entity

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