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
$BM(2)$.

Location: http://mech.math.msu.su/~fpm/eng/k05/k055/k05502h.htm

Last modified: February 26, 2006