Geodesic
Retraction properties of an orbit space
Sbornik. Mathematics, Tome 65 (1990) no. 2, pp. 305-321

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In this paper there is an investigation, for the case of a compact group $G$, of the orbit space $X/G$ of a given $G$-space $X$, from the point of view of the theory of retracts. A particular case of the main result asserts that if one of the spaces $X$ and $G$ has countable weight and $X$ is a $G$-A(N)R for metrizable spaces, then $X/G$ is an A(N)R for metrizable spaces. New results about the equivariant embedding of metrizable $G$-spaces are also obtained. Bibliography: 28 titles. 
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     author = {S. A. Antonyan},
     title = {Retraction properties of an orbit space},
     journal = {Sbornik. Mathematics},
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     volume = {65},
     number = {2},
     year = {1990},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1990_65_2_a1/}
}
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S. A. Antonyan. Retraction properties of an orbit space. Sbornik. Mathematics, Tome 65 (1990) no. 2, pp. 305-321. http://geodesic.mathdoc.fr/item/SM_1990_65_2_a1/