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
Full-text PDF Free Access
Similar Articles |
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)
Retrieve articles in Proceedings of the American Mathematical Society
Retrieve articles in all journals
ultrafilters on N,
finite distinct sums
© Copyright 1972 American Mathematical Society