Cardinal Constraints on the Stone Cech Compactification of a Locally Compact Group
by
Gerald Itzkowitz
Queens College, Flushing, N.Y., USA
Coauthors: Sidney Morris (Wolongong University, Wolongong, Australia)

A classical result found in Gillman and Jerison's book "Rings of Continuous Functions" is the fact that the cardinal of the Stone Cech compactification of R is exp(|R|). Extensions of this fact to locally compact groups will be discussed. One such fact among several to be discussed is given by the following theorem. If G is a noncompact nondiscrete sigma-compact metrizable locally compact group then the cardinal of the Stone Cech compactification of G is exp(|G|). Cardinal constraints on the Stone Cech compactification of more general locally compact groups will be discussed. These results refine a number of theorems announced at the 1991 Prague Topology Symposium and make use of a theorem attributed to K. Hofmann in J. Cleary's doctoral dissertation.

Date received: June 25, 1997

Copyright © 1997 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 # caao-30.