Ultrafilters and multidimensional Ramsey Theorems

V. Bergelson; N. Hindman

doi:10.1007/bf02122678

journal article Mar 01, 1989

Ultrafilters and multidimensional Ramsey Theorems

V. Bergelson

N. Hindman

Combinatorica Vol. 9 No. 1 pp. 1-7 · Springer Science and Business Media LLC

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References

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Density versions of two generalizations of Schur's theorem

Vitaly Bergelson, Neil Hindman

Journal of Combinatorial Theory, Series A 1988 10.1016/0097-3165(88)90072-6

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R. Graham, B. Rothschild andJ. Spencer,Ramsey Theory, John Wiley & Sons, New York, 1980.

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N. Hindman, Partitions and sums and products — two counter-examples,J. Comb. Theory (Series A) 29 (1980), 113–120. 10.1016/0097-3165(80)90052-7

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N.Hindman, Ultrafilters and combinatorial number theory, in Number Theory Carbondale 1979, ed. M. Nathanson,Lecture Notes in Math. 751 (1979), 119–184. 10.1007/bfb0062706

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K. Milliken, Ramsey's Theorem with sums or unions,J. Comb. Theory (Series A) 1 (1975), 276–290. 10.1016/0097-3165(75)90039-4

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A. Taylor, A canonical partition relation for finite subsets ofω, J. Comb. Theory (Series A) 21 (1976), 137–146. 10.1016/0097-3165(76)90058-3

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