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The Second Galway Topology Colloquium at Oxford
September 2-5, 1998
The University of Oxford
Oxford, UK

Organizers
Chris Good, Paul Gartside, Peter Collins, Steven Fisher

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Stone-Cech Compactifications of discrete semigroups
by
Dona Strauss
University of Hull

The semigroup operation of a discrete semigroup S can be extended to \betaS. The semigroup \betaS is interesting because it is a maximal semigroup compactification of S and because it has applications to Ramsey Theory and to Topological Dynamics. I shall give a sriking application to Ramsey Theory, in showing that Hindman's Theorem follows easily from the existence of an idempotent in \betaS\S. I shall also discuss how interesting topologies can be defined on S by using idempotents in \betaS\S.

Date received: August 6, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabl-12.