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Algebra i Analiz, 2007, Volume 19, Issue 1, Pages 149–176 (Mi aa106)  
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
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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
English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 1, Pages 107–124
DOI: https://doi.org/10.1090/S1061-0022-07-00988-0
Bibliographic databases:
Document Type: Article
MSC: 54F45
Language: Russian
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
Citation in format AMSBIB
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\by N.~Lebedeva
\paper Dimensions of products of hyperbolic spaces
\jour Algebra i Analiz
\yr 2007
\vol 19
\issue 1
\pages 149--176
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\zmath{https://zbmath.org/?q=an:1138.55001}
\transl
\jour St. Petersburg Math. J.
\yr 2008
\vol 19
\issue 1
\pages 107--124
\crossref{https://doi.org/10.1090/S1061-0022-07-00988-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267653000007}
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  • https://www.mathnet.ru/eng/aa/v19/i1/p149
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Full-text PDF :143
    References:52
    First page:5
     
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