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This article is cited in 1 scientific paper (total in 1 paper)
Research Papers
Dimensions of products of hyperbolic spaces
N. Lebedeva St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
Estimates on asymptotic dimension are given for products of general hyperbolic spaces, with applications to hyperbolic groups. Examples are presented where strict inequality occurs in the product theorem for the asymptotic dimension in the class of hyperbolic groups and in the product theorem for the hyperbolic dimension. It is proved that $\mathbb{R}$ is dimensionally full for the asymptotic dimension in the class of hyperbolic groups.
Keywords:
Asymptotic dimension, hyperbolic groups, linearly controlled dimension, quasi-isometry invariants.
Received: 19.06.2006
Citation:
N. Lebedeva, “Dimensions of products of hyperbolic spaces”, Algebra i Analiz, 19:1 (2007), 149–176; St. Petersburg Math. J., 19:1 (2008), 107–124
Linking options:
https://www.mathnet.ru/eng/aa106 https://www.mathnet.ru/eng/aa/v19/i1/p149
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Abstract page: | 385 | Full-text PDF : | 115 | References: | 32 | First page: | 5 |
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