Coarse dimensions and partitions of unity
Copyright policy )Coarse dimensions and partitions of unity
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}.
23 pages
- University of Tennessee at Knoxville United States
Mathematics - Geometric Topology, General Topology (math.GN), FOS: Mathematics, 54F45, 54C55, 54E35, 18B30, 54D35, 54D40, 20H15, Geometric Topology (math.GT), Mathematics - General Topology
Mathematics - Geometric Topology, General Topology (math.GN), FOS: Mathematics, 54F45, 54C55, 54E35, 18B30, 54D35, 54D40, 20H15, Geometric Topology (math.GT), Mathematics - General Topology
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