On spaces with locally countable weak-bases
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Publicado:
2025-08-08
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weak-bases, \(sn\)-networks, \(k\)-networks, \(cs\)-networks, \(sn\)- first spaces, \(\alpha_4\)-space, compact-covering mappings, \(ss\)-mappings, \(g\)-metrizable spaces
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In this paper, we discuss the relationships between spaces with locally countable weak-bases and spaces with various locally countable networks, establish the relationships between spaces with locally countable weak-bases and locally separable metric spaces, and show that spaces have locally countable weak-bases if and only if they are locally Lindel¨of, \(g\)-metrizable spaces. These are improvement of the results in [5,6].
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Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial 4.0.
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Zhaowen Li, & Qingguo Li. (2025). On spaces with locally countable weak-bases. Scientia, 19, 105-111. https://doi.org/10.71712/
