The existence of certain ultra-filters on $N$ and a conjecture of Graham and Rothschild
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- by Neil Hindman PDF
- Proc. Amer. Math. Soc. 36 (1972), 341-346 Request permission
Abstract:
The equivalence of a conjecture of Graham and Rothschild and the existence of certain ultrafilters on N is established. It is also shown that this conjecture is equivalent to an apparently stronger statement.References
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P. Erdös, Problems and results on combinatorial number theory (preprint).
- R. L. Graham and B. L. Rothschild, Ramsey’s theorem for $n$-parameter sets, Trans. Amer. Math. Soc. 159 (1971), 257–292. MR 284352, DOI 10.1090/S0002-9947-1971-0284352-8
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 36 (1972), 341-346
- MSC: Primary 05A05; Secondary 04A20
- DOI: https://doi.org/10.1090/S0002-9939-1972-0307926-0
- MathSciNet review: 0307926