FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

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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Last modified: December 23, 2001