Geodesic
New topological models for Banach--Mazur compacta
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 5, pp. 19-31

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Sufficient conditions are given for an action of the orthogonal group $\mathrm{O}(n)$ on the Hilbert cube $Q$ in order that the corresponding orbit space $Q/\mathrm{O}(n)$ be homeomorphic to the Banach–Mazur compactum $\mathrm{BM}(n)$. This result is applied to obtain simple topological models for $\mathrm{BM}(2)$. 
@article{FPM_2005_11_5_a1,
     author = {S. A. Antonyan},
     title = {New topological models for {Banach--Mazur} compacta},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {19--31},
     publisher = {mathdoc},
     volume = {11},
     number = {5},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_5_a1/}
}
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S. A. Antonyan. New topological models for Banach--Mazur compacta. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 5, pp. 19-31. http://geodesic.mathdoc.fr/item/FPM_2005_11_5_a1/