On asymptotic inductive dimension. (English) Zbl 1059.54024
Summary: We introduce the notion of asymptotic inductive dimension aaInd \(X\) for metric spaces \(X\) and establish connections between aaInd \(X\), Gromov’s asymptotic dimension aadim \(X\) and the inductive dimension of the Higson corona Ind \(\nu X\).
MSC:
54F45 | Dimension theory in general topology |
54D35 | Extensions of spaces (compactifications, supercompactifications, completions, etc.) |