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
相关论文
共 50 条
  • [31] qλ-hyperconvexity in quasi-metric spaces
    Agyingi, Collins Amburo
    Gaba, Yae Ulrich
    AFRIKA MATEMATIKA, 2019, 30 (3-4) : 399 - 412
  • [32] Modified w-distances on quasi-metric spaces and a fixed point theorem on complete quasi-metric spaces
    Alegre, Carmen
    Marin, Josefa
    TOPOLOGY AND ITS APPLICATIONS, 2016, 203 : 32 - 41
  • [33] Quasi-metric tree in T0-quasi-metric spaces
    Otafudu, Olivier Olela
    TOPOLOGY AND ITS APPLICATIONS, 2013, 160 (13) : 1794 - 1801
  • [34] Local Yoneda completions of quasi-metric spaces
    Lu, Jing
    Zhao, Bin
    MATHEMATICAL STRUCTURES IN COMPUTER SCIENCE, 2023, 33 (01) : 33 - 45
  • [35] NOTE ON QUASI-METRIC SPACES - PRELIMINARY REPORT
    HEATH, RW
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (05): : 786 - &
  • [36] ON THE BICOMPLETION OF INTUITIONISTIC FUZZY QUASI-METRIC SPACES
    Castro-Company, F.
    Tirado, P.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2016, 13 (03): : 143 - 151
  • [37] Formal balls in fuzzy quasi-metric spaces
    Gao, You
    Li, Qingguo
    Guo, Lankun
    Xie, Jialiang
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 684 - 698
  • [38] Completing quasi-metric spaces - An alternative approach
    Lowen, R
    Sioen, M
    Vaughan, D
    HOUSTON JOURNAL OF MATHEMATICS, 2003, 29 (01): : 113 - 136
  • [39] On the Meir–Keeler theorem in quasi-metric spaces
    Mecheraoui Rachid
    Zoran D. Mitrović
    Vahid Parvaneh
    Zohreh Bagheri
    Journal of Fixed Point Theory and Applications, 2021, 23
  • [40] The Bicompletion of Intuitionistic Fuzzy Quasi-Metric Spaces
    Castro-Company, Francisco
    Tirado, Pedro
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 844 - 847
12345