Coarse dimensions and partitions of unity
arXiv:math/0506547
Abstract
Gromov \cite{Gr} and Dranishnikov \cite{Dr} 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} and Dranishnikov-Keesling-Uspienskij \cite{DKU}.
23 pages