Dimensions of products of hyperbolic spaces

Lebedeva, N.

doi:10.1090/S1061-0022-07-00988-0

Dimensions of products of hyperbolic spaces
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by 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.

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