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.
On bijections, isometries and expansive maps
Fedeli, A
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2016-01-01
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.File in questo prodotto:
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Fedeli-Le Donne-Bull.Belg.Math.Soc. (2016).pdf
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