Statements (12)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
finite point sets in the plane
|
| gptkbp:field |
gptkb:combinatorial_geometry
|
| gptkbp:namedAfter |
gptkb:József_Beck
|
| gptkbp:publishedIn |
gptkb:Combinatorica
|
| gptkbp:relatedTo |
gptkb:Szemerédi–Trotter_theorem
Erdős–Beck theorem |
| gptkbp:sentence |
Given a finite set of points in the Euclidean plane, either a large number of them are collinear, or there are many lines determined by pairs of points from the set.
|
| gptkbp:yearProposed |
1983
|
| gptkbp:bfsParent |
gptkb:József_Beck
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Beck's theorem
|