TOPOLOGICAL PROOFS OF KELLER'S THEOREM AND AN EQUIVARIANT VERSION OF IT
S. M. Ageev · Izvestiya Mathematics · 1994
T. The known proofs of Keller's theorem that any infinite-dimensional compact convex set in Hubert 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