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
收藏
页码：15 / 23
页数：9
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