N. Brodskiy, J. Dydak
Published 2005-06-27, updated 2005-09-15Version 3
Gromov \cite{Gr$_1$} and Dranishnikov \cite{Dr$_1$} introduced asymptotic and coarse dimensions of proper metric spaces via quite different ways. We define coarse and asymptotic dimension of all metric spaces in a unified manner and we investigate relationships between them generalizing results of Dranishnikov \cite{Dr$_1$} and Dranishnikov-Keesling-Uspienskij \cite{DKU}.
Comments: 23 pages
Journal: Rev. R. Acad. Cien. Serie A. Mat. 102 (1), 2008, pp. 1-19
Universal spaces for asymptotic dimension
Asymptotic dimension and the disk graph II
Manifolds from Partitions
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