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On isometrically containing maps for nonexpansive maps on finite metric spaces. (English) Zbl 1476.54025

Summary: In this paper, for each \(n\), we construct a map \(f\): \(X \rightarrow Y\) between compact zero-dimensional metric spaces which is isometrically containing for the class of nonexpansive surjections between at most \(n\)-element metric spaces of diameter \(\leq 1\).

MSC:

54E40 Special maps on metric spaces
54E45 Compact (locally compact) metric spaces
54F45 Dimension theory in general topology
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References:

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[11] University of Warsaw Email address: E.Pol@mimuw.edu.pl and R.Pol@mimuw.edu.pl
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