On the maximal G-compactification of products of two G-spaces
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.
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2006-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/93218 |