International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 93218, 9 pages
doi:10.1155/IJMMS/2006/93218
On the maximal G-compactification of products of two G-spaces
Departamento de Matemáticas, División de Inginiería y Arcitectura, Instituto Tecnológico y de Estudios Superiores de Monterrey, México, Distrito Federal 14380, Mexico
Received 5 September 2005; Revised 27 December 2005; Accepted 8 January 2006
Copyright © 2006 Natella Antonyan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Let G be any Hausdorff topological group and let βGX
denote the maximal G-compactification of a G-Tychonoff space
X. We prove that if X and Y are two G-Tychonoff spaces
such that the product X×Y is pseudocompact, then
βG(X×Y)=βGX×βGX.