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The Eleventh Summer Conference on General Topology and Applications
August 10-13, 1995
University of Southern Maine
Gorham, ME, USA

Organizers
J. Baumgartner, D. Briggs, J. deBakker, B. Flagg, G. Gruenhage, M. Guay, Y. Kong, R. Kopperman, S. Shore, J. Rutten, J. Vaughan

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Weak p-Points and Cancellation in \betaS
by
Mahmoud Filali
University of Oulu

Let S be a cancellative semigroup and let \betaS be the Stone-Cech compactification of S. Then \betaS is a semigroup with an operation which extends that of S and which is continuous only in one variable. The points s of S are easily shown to be right (left) cancellative in \betaS, i.e., ys and zs (sy and sz) are different elements of \betaS whenever y and z are. It is known that such a property is not valid for all the elements of \betaS \S. However, we will see that the set of points in \betaS\S which are cancellative in \betaS is dense in \betaS\S. In particular, we will see that the (weak) p-points of \betaS \S are (left) cancellative in \betaS.

Date received: April 12, 1996

Copyright © 1996 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 # caae-20.