Pure Mathematics Seminar: Dona Strauss
Dona Strauss, Universities of Leeds and Hull
Wednesday 09 October 2013, 1500-1600
A54, Postgraduate Statistics Centre Lecture Theatre
Applications of $\beta N$ to Ramsey Theory
If $S$ is a discrete semigroup, its semigroup structure has a natural extension to its Stone-Cech compactification $\beta S$. This fact has had powerful applications in combinatorics and topological dynamics. Several of the well-known theorems of Ramsey Theory have simple and elegant proofs based on the algebraic properties of $\beta N$.