By Neil Hindman
This paintings provides a examine of the algebraic homes of compact correct topological semigroups normally and the Stone-Cech compactification of a discrete semigroup specifically. numerous strong functions to combinatorics, basically to the department of combinarotics often called Ramsey idea, are given, and connections with topological dynamics and ergodic concept are provided. The textual content is largely self-contained and doesn't suppose any previous mathematical services past an information of the fundamental recommendations of algebra, research and topology, as frequently coated within the first yr of graduate college. many of the fabric provided relies on effects that experience thus far in basic terms been to be had in learn journals. furthermore, the publication features a variety of new effects that experience up to now now not been released in different places.