The existence of certain ultra-filters on and a conjecture of Graham and Rothschild
Proc. Amer. Math. Soc. 36 (1972), 341-346
Primary 05A05; Secondary 04A20
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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.
- 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 0284352 (44:1580)
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ultrafilters on N,
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