Coarse dimensions and partitions of unity

N. Brodskiy; J. Dydak

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Coarse dimensions and partitions of unity

N. Brodskiy·J. Dydak

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Abstract

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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N. Brodskiy, J. Dydak. 2005-09-15. Coarse dimensions and partitions of unity. https://arxiv.org/abs/math/0506547

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