Geodesic
Manifolds modeled by an equivariant Hilbert cube
Sbornik. Mathematics, Tome 83 (1995) no. 2, pp. 445-468 Cet article a éte moissonné depuis la source Math-Net.Ru

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J. E. West posed the general problem of carrying over the basics of the theory of manifolds modeled by the Hilbert cube ($\equiv Q$-manifolds) into the equivariant realm. In particular, under the number 942 in 'Open problems in topology' he formulated the following problem: 'If $K$ is a locally compact $G$-CW complex, is the diagonal $G$-action on $X=K\times Q_G$ a $Q_G$-manifold? [$G$ is a compact Lie group and $Q_G=\prod_{i>0,\rho}D_{\rho,i}$ is the product of the unit balls of all the irreducible real representations of $G$, each representation disc being represented infinitely often.] What if $K$ is a locally compact $G$-ANR?' In this paper we construct a theory of $\mathbb Q$-manifolds for an arbitrary compact group $G$ in a scope that suffices for proving a characterization theorem for such manifolds. 
@article{SM_1995_83_2_a9,
     author = {S. M. Ageev},
     title = {Manifolds modeled by an~equivariant {Hilbert} cube},
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     year = {1995},
     volume = {83},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1995_83_2_a9/}
}
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S. M. Ageev. Manifolds modeled by an equivariant Hilbert cube. Sbornik. Mathematics, Tome 83 (1995) no. 2, pp. 445-468. http://geodesic.mathdoc.fr/item/SM_1995_83_2_a9/

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