(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 3, PAGES 931-934

Extension of the pseudo-compact group actions

S. A. Antonian

Abstract

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 It is proved that for a given pseudo-compact Hausdorff group $G$, every continuous action $\alpha\colon\, G\times X\to X$ on a metrizable space $X$ has a unique extension to a continuous action $\tilde{\alpha}\colon\, \beta G\times X\to X$, where $\beta G$ is the Stone--Cech extension of $G$. 

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