Monthly Archives: November 2012

Properties of ultrafilters and a Theorem on arithmetic combinatorics

A Theorem of Schur (one of the earliest results in Ramsey Theory) asserts that given any finite coloring of the set of natural numbers , there exist of the same color such that also has the same color. As a … Continue reading

Posted in Combinatorics, Ramsey Theory | Tagged , , , , | 11 Comments