Density Hales-Jewett theorem
GPTKB entity
Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
theorems in Ramsey theory
theorems in combinatorics |
| gptkbp:field |
gptkb:Ramsey_theory
combinatorics |
| gptkbp:generalizes |
gptkb:van_der_Waerden's_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Density Hales-Jewett theorem
|
| gptkbp:implies |
gptkb:Szemerédi's_theorem
|
| gptkbp:namedAfter |
gptkb:Alfred_Hales
Robert I. Jewett |
| gptkbp:provenBy |
Furstenberg
Furstenberg-Katznelson Katznelson Sarközy Szemerédi |
| gptkbp:relatedTo |
Hales-Jewett theorem
|
| gptkbp:sentence |
For any positive integers k and r, there exists an N such that any r-coloring of the k-ary N-dimensional grid contains a monochromatic combinatorial line.
|
| gptkbp:yearProved |
1975
|
| gptkbp:bfsParent |
gptkb:Polymath_Project
|
| gptkbp:bfsLayer |
7
|