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arXiv · 2207.11513

On expand-contract plasticity in quasi-metric spaces

Olesia Zavarzina
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Abstract

It is known that if any function acting from precompact metric space to itself increases the distance between some pair of points then it must decrease distance between some other pair of points. We show that this is not the case for quasi-metric spaces. After that, we present some sufficient conditions under which the previous property holds true for hereditarily precompact quasi-metric spaces.

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Olesia Zavarzina. 2022-07-23. On expand-contract plasticity in quasi-metric spaces. https://arxiv.org/abs/2207.11513

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