论文信息 - Left K‐Completeness in Quasi‐Metric Spaces

Left K‐Completeness in Quasi‐Metric Spaces

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.

Salvador Romaguera | S. Romaguera

[1] P. Fletcher,et al. Erratum: “Orthocompactness and strong čech completeness in Moore spaces,” vol. 39 (1972) pp. 753–766 , 1973 .

[2] J. Groot. Subcompactness and the baire category theorem , 1963 .

[3] R. Engelking,et al. Paracompactness in ordered spaces , 1977 .

[4] H. Kunzi. Complete quasi-pseudo-metric spaces , 1992 .

[5] R. Stoltenberg. On quasi-metric spaces , 1969 .

[6] T. Mackowiak. On decompositions of hereditarily smooth continua , 1977 .

[7] H. Wicke,et al. Characterizations of Developable Topological Spaces , 1965, Canadian Journal of Mathematics.

[8] R. Stoltenberg,et al. Some Properties of Quasi‐Uniform Spaces , 1967 .

[9] P. Fletcher,et al. Orthocompactness and strong Čech completeness in Moore spaces , 1972 .

[10] J. Aarts,et al. Pseudo-completeness and the product of Baire spaces , 1973 .

[11] Doitchin Doitchinov,et al. On completeness in quasi-metric spaces , 1988 .

[12] P. V. Subrahmanyam,et al. Cauchy sequences in quasi-pseudo-metric spaces , 1982 .