On expand-contract plasticity in quasi-metric spaces

被引：0

作者：

Zavarzina, O. O. ^{[1
]}

机构：

[1] Kharkov Natl Univ, 4 Svobody Sq, UA-61022 Kharkiv, Ukraine

来源：

CARPATHIAN MATHEMATICAL PUBLICATIONS | 2023年 / 15卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

non-expansive map; plastic space; quasi-metric space; BIJECTIONS;

D O I：

10.15330/cmp.15.2.524-528

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that if any function acting from precompact metric space to itself increases the dis-tance 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.

引用

页码：524 / 528

页数：5

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