FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 5, PAGES 19-31

New topological models for Banach--Mazur compacta

S. A. Antonyan

Abstract

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Sufficient conditions are given for an action of the orthogonal group $O(n)$ on the Hilbert cube $Q$ in order that the corresponding orbit space $Q/O(n)$ be homeomorphic to the Banach--Mazur compactum $BM(n)$. This result is applied to obtain simple topological models for $BM(2)$.

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Last modified: February 26, 2006