LEFT K-COMPLETENESS IN QUASI-METRIC SPACES

被引：30

作者：

ROMAGUERA, S

机构：

[1] Escuela de Caminos, Departamento de Matemática Aplicada, Universidad Politécnica, Valencia

来源：

MATHEMATISCHE NACHRICHTEN | 1992年 / 157卷

关键词：

D O I：

10.1002/mana.19921570103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Regular left K-sequentially complete quasi-metric spaces are characterized. We deduce that these spaces are complete ARONSZAJN and that every metrizable space admitting a left K-sequentially complete quasi-metric is completely metrizable. We also characterize quasi-metric spaces having a quasi-metric left K-sequential completion in terms of certain bases of countable order.

引用

页码：15 / 23

页数：9

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