Dimensions of products of hyperbolic spaces
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N. Lebedeva
Translated by: the author - St. Petersburg Math. J. 19 (2008), 107-124
- DOI: https://doi.org/10.1090/S1061-0022-07-00988-0
- Published electronically: December 17, 2007
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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.References
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Bibliographic Information
- N. Lebedeva
- Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia
- Email: lebed@pdmi.ras.ru
- Received by editor(s): June 19, 2007
- Published electronically: December 17, 2007
- Additional Notes: Supported by RFBR (grant no. 05-01-00939)
- © Copyright 2007 American Mathematical Society
- Journal: St. Petersburg Math. J. 19 (2008), 107-124
- MSC (2000): Primary 54F45
- DOI: https://doi.org/10.1090/S1061-0022-07-00988-0
- MathSciNet review: 2319513
Dedicated: To dear Viktor Abramovich Zalgaller on the occasion of his 85th birthday