Coarse dimensions and partitions of unity
classification
🧮 math.GT
math.GN
keywords
citecoarseasymptoticdimensionsdranishnikovmetricspacesdefine
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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}.
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