International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 1, Article ID 93218, 9 pages
doi:10.1155/IJMMS/2006/93218
On the maximal G-compactification of products of two G-spaces
Natella Antonyan
Departamento de Matemáticas, División de Inginiería y Arcitectura, Instituto Tecnológico y de Estudios Superiores de Monterrey, México, Distrito Federal 14380, Mexico
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.