Geodesic
Extension of the pseudo-compact group actions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 931-934.

Voir la notice de l'article provenant de la source Math-Net.Ru

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 $G$. 
@article{FPM_2001_7_3_a21,
     author = {S. A. Antonyan},
     title = {Extension of the pseudo-compact group actions},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {931--934},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a21/}
}
TY  - JOUR
AU  - S. A. Antonyan
TI  - Extension of the pseudo-compact group actions
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2001
SP  - 931
EP  - 934
VL  - 7
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a21/
LA  - ru
ID  - FPM_2001_7_3_a21
ER  - 
%0 Journal Article
%A S. A. Antonyan
%T Extension of the pseudo-compact group actions
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2001
%P 931-934
%V 7
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a21/
%G ru
%F FPM_2001_7_3_a21
S. A. Antonyan. Extension of the pseudo-compact group actions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 931-934. http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a21/