Geodesic
Topological proofs of Keller's theorem and an equivariant version of it
Izvestiya. Mathematics, Tome 42 (1994) no. 3, pp. 621-629 
S. M. Ageev. Topological proofs of Keller's theorem and an equivariant version of it. Izvestiya. Mathematics, Tome 42 (1994) no. 3, pp. 621-629. http://geodesic.mathdoc.fr/item/IM2_1994_42_3_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The known proofs of Keller's theorem that any infinite-dimensional compact convex set in Hilbert space is homeomorphic to the Hilbert cube are analytic. Here a topological proof of this theorem is given. A new approach to the old theorem leads to a proof of an equivariant version of Keller's theorem.

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