On the maximal <mml:math id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>G</mml:mi></mml:math>-compactification of products of two <mml:math id="E2" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>G</mml:mi></mml:math>-spaces

Antonyan, Natella

doi:https://doi.org/10.1155/IJMMS/2006/93218

International Journal of Mathematics and Mathematical Sciences

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Volume 2006 | Article ID 093218 | https://doi.org/10.1155/IJMMS/2006/93218

On the maximal G-compactification of products of two G-spaces

Natella Antonyan¹

Received05 Sept 2005

Revised27 Dec 2005

Accepted08 Jan 2006

Published04 May 2006

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.

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Copyright © 2006 Hindawi Publishing Corporation. 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.

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