Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 931-934
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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/
@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},
year = {2001},
volume = {7},
number = {3},
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
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
%U http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a21/
%G ru
%F FPM_2001_7_3_a21
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 $G$.
