|
Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 5, Pages 19–31
(Mi fpm861)
|
|
|
|
This article is cited in 3 scientific papers (total in 3 papers)
New topological models for Banach–Mazur compacta
S. A. Antonyan National Autonomous University of Mexico
Abstract:
Sufficient conditions are given for an action of the orthogonal group $\mathrm{O}(n)$ on the Hilbert cube $Q$ in order that the corresponding orbit space $Q/\mathrm{O}(n)$ be homeomorphic to the Banach–Mazur compactum $\mathrm{BM}(n)$. This result is applied to obtain simple topological models for $\mathrm{BM}(2)$.
Citation:
S. A. Antonyan, “New topological models for Banach–Mazur compacta”, Fundam. Prikl. Mat., 11:5 (2005), 19–31; J. Math. Sci., 146:1 (2007), 5465–5473
Linking options:
https://www.mathnet.ru/eng/fpm861 https://www.mathnet.ru/eng/fpm/v11/i5/p19
|
Statistics & downloads: |
Abstract page: | 252 | Full-text PDF : | 122 | References: | 37 |
|