This article is cited in 1 paper

Topological proofs of Keller's theorem and an equivariant version of it

S. M. Ageev


Abstract: 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.

UDC: 515

MSC: 46C05, 46A55

Received: 20.03.1992

 English version: Russian Academy of Sciences. Izvestiya Mathematics, 1994, 42:3, 621–629

Bibliographic databases:

• 
• 
• 
•