论文标题

在准近似空间中的扩展合同可塑性上

On expand-contract plasticity in quasi-metric spaces

论文作者

Zavarzina, Olesia

论文摘要

众所周知,如果任何从预交公制空间到本身起作用的函数都会增加某些点之间的距离,那么它必须降低其他一些点之间的距离。我们表明,准中空间并非如此。之后,我们提出了一些足够的条件,在这些条件下,对于遗传预校准的准中空空间,先前的属性具有正确的状态。

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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