FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(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 $\$\; \backslash alpha\; \backslash colon\; G\; \backslash times\; X\; \backslash to\; X\; \$$ on a metrizable space $X$ has a unique extension to a continuous action $\$\; \backslash tilde\{\backslash alpha\}\; \backslash colon\; \backslash beta\; G\; \backslash times\; X\; \backslash to\; X\; \$$, where $$bG is the Stone--Cech extension of $G$.

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Last modified: December 23, 2001