Abstract
In this paper we show when a bijection on a set $X$ can be made either an isometry or an expansive map with respect to a non-discrete metric on $X$. As a corollary we obtain that any bijection on an infinite set can be made biLipschitz by a non-discrete metric.
Citation
Alessandro Fedeli. Attilio Le Donne. "On bijections, isometries and expansive maps." Bull. Belg. Math. Soc. Simon Stevin 23 (1) 57 - 61, march 2016. https://doi.org/10.36045/bbms/1457560853
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