Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:debunkedBy |
gptkb:Gil_Kalai
gptkb:Jeff_Kahn |
| gptkbp:disprovedInYear |
1993
|
| gptkbp:field |
gptkb:geometry
combinatorics |
| https://www.w3.org/2000/01/rdf-schema#label |
Borsuk's conjecture
|
| gptkbp:proposedBy |
gptkb:Karol_Borsuk
|
| gptkbp:relatedTo |
gptkb:Borsuk–Ulam_theorem
metric geometry |
| gptkbp:sentence |
Every bounded subset of n-dimensional Euclidean space can be partitioned into n+1 subsets of smaller diameter.
|
| gptkbp:status |
disproved for n ≥ 65
true for n ≤ 3 |
| gptkbp:yearProposed |
1933
|
| gptkbp:bfsParent |
gptkb:Karol_Borsuk
|
| gptkbp:bfsLayer |
7
|