Geodesic
Topological transformation groups and Dugundji compacta
Sbornik. Mathematics, Tome 201 (2010) no. 1, pp. 103-128

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

The presence of an algebraic structure on a space, which is compatible with its topology, in many cases imposes very strong restrictions on the properties of the space itself. Conditions are found which must be satisfied by the actions in order for the phase space to be a $d$-space (Dugundji compactum). This investigation allows the range of $G$-spaces that are $d$-spaces (Dugundji compacta) to be substantially widened. It is shown that all the cases known to the authors where a $G$-space (a topological group, one of its quotient spaces) is a $d$-space can be realized using equivariant maps. Bibliography: 39 titles.
Keywords: $G$-space, topological group, $d$-space, uniform structure.
Mots-clés : Dugundji compactum 
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K. L. Kozlov; V. A. Chatyrko. Topological transformation groups and Dugundji compacta. Sbornik. Mathematics, Tome 201 (2010) no. 1, pp. 103-128. http://geodesic.mathdoc.fr/item/SM_2010_201_1_a4/