The existence of certain ultra-filters on and a conjecture of Graham and Rothschild
Author: Neil Hindman
Journal: Proc. Amer. Math. Soc. 36 (1972), 341-346
MSC: Primary 05A05; Secondary 04A20
MathSciNet review: 0307926
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.
Keywords: Sequences, ultrafilters on N, finite distinct sums
Article copyright: © Copyright 1972 American Mathematical Society