multidimensional Szemerédi theorem
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
theorem in Ramsey theory
|
| gptkbp:field |
gptkb:combinatorics
additive combinatorics |
| gptkbp:generalizes |
gptkb:Szemerédi's_theorem
|
| gptkbp:provenBy |
gptkb:Hillel_Furstenberg
gptkb:Alexander_Leibman gptkb:Bernard_Host gptkb:Vitaly_Bergelson gptkb:Yitzhak_Katznelson |
| gptkbp:publishedIn |
gptkb:Journal_d’Analyse_Mathématique
|
| gptkbp:relatedTo |
gptkb:Szemerédi's_theorem
|
| gptkbp:state |
Any subset of the integer lattice of positive upper density contains arbitrarily large finite patterns of a given shape.
|
| gptkbp:yearProved |
1978
|
| gptkbp:bfsParent |
gptkb:Hypergraph_regularity_and_the_multidimensional_Szemerédi_theorem
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
multidimensional Szemerédi theorem
|