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Fundamentalnaya i Prikladnaya Matematika, 2001, Volume 7, Issue 3, Pages 931–934
(Mi fpm582)
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Short communications
Extension of the pseudo-compact group actions
S. A. Antonyan Yerevan State University
Abstract:
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 $G$.
Received: 01.01.1997
Citation:
S. A. Antonyan, “Extension of the pseudo-compact group actions”, Fundam. Prikl. Mat., 7:3 (2001), 931–934
Linking options:
https://www.mathnet.ru/eng/fpm582 https://www.mathnet.ru/eng/fpm/v7/i3/p931
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Statistics & downloads: |
Abstract page: | 217 | Full-text PDF : | 91 | First page: | 2 |
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