Ham sandwich theorem

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:n-dimensional_Euclidean_space
measurable sets
gptkbp:author gptkb:Arthur_H._Stone
gptkb:John_Tukey
gptkb:Hugo_Steinhaus
Egon Balas
gptkbp:describes division of objects into equal parts
gptkbp:field gptkb:geometry
gptkb:mathematics
measure theory
gptkbp:firstPublished 1945
https://www.w3.org/2000/01/rdf-schema#label Ham sandwich theorem
gptkbp:namedAfter the ham sandwich problem
gptkbp:relatedTo gptkb:equipartition_theorem
gptkb:Borsuk–Ulam_theorem
gptkbp:state Given n measurable objects in n-dimensional space, there exists a single (n-1)-dimensional hyperplane that simultaneously bisects all n objects.
gptkbp:bfsParent gptkb:Borsuk–Ulam_theorem
gptkbp:bfsLayer 8