Published 2010-07-12
Keywords
- weak-bases,
- \(sn\)-networks,
- \(k\)-networks,
- \(cs\)-networks,
- \(sn\)- first spaces
- \(\alpha_4\)-space,
- compact-covering mappings,
- \(ss\)-mappings,
- \(g\)-metrizable spaces ...More
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How to Cite
On spaces with locally countable weak-bases. (2010). Scientia Series A: Mathematical Sciences, 19, 105-111. https://revistas.usm.cl/scientia/article/view/145
Abstract
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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