Dimensions of products of hyperbolic spaces

2006/09/16 by Nina Lebedeva, Lebedeva, Nina · 1 citation
Mathematics · #Advanced Operator Algebra Research #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.DG #math.MG #msc:51F99

paper · pdf · doi:10.48550/arxiv.math/0609463

arxiv created 2006/09/16 · arxiv updated 2009/12/01

Abstract

We give estimates on asymptotic dimensions of products of general hyperbolic spaces with following applications to the hyperbolic groups. We give examples of strict inequality in the product theorem for the asymptotic dimension in the class of the hyperbolic groups; and examples of strict inequality in the product theorem for the hyperbolic dimension. We prove that R is dimensionally full for the asymptotic dimension in the class of the hyperbolic groups.

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