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$IP_r $-sets, Szemerédi's theorem, and Ramsey theory

Author(s): H. Furstenberg; Y. Katznelson
Journal: Bull. Amer. Math. Soc. 14 (1986), 275-278.
MSC (1985): Primary 05B30
MathSciNet review: 828825
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References | Similar articles | Additional information

References:

1.
T. C. Brown and J. P. Buhler, A density version of a geometric Ramsey theorem, J. Combin. Theory Ser. A 32 (1982), 20-34. MR 640624
2.
H. Furstenberg, Recurrence in ergodic theory and combinatorial number theory, Princeton Univ. Press, Princeton, N.J., 1981. MR 603625
3.
H. Furstenberg and Y. Katznelson, An ergodic Szemerédi theorem for IP-systems and combinatorial theory J. d' Analyse Math. 45 (1985), 117-168. MR 833409
4.
R. L. Graham, B. Rothschild and J. Spencer, Ramsey theory, John Wiley, 1980. MR 591457

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Additional Information:

DOI: 10.1090/S0273-0979-1986-15438-8
PII: S 0273-0979(1986)15438-8

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