Spaces with locally countable weak bases and some preservations by 1-sequence-covering maps

DOI10.1134/S1995080208020017zbMath1169.54353OpenAlexW2074754281MaRDI QIDQ2378852

Nguyen Thi Le, Tran Van An

Publication date: 14 January 2009

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080208020017

zbMATH Keywords

1-sequence-covering mapweak base\(s\)-maplocally countable\(sn\)-network\(cs\)-map\(ss\)-mapweak-open map

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Sequential spaces (54D55) Topological spaces with richer structures (54E99) Special maps on metric spaces (54E40)

Cites Work

• On spaces with point-countable cs-networks
• On g-metrizability
• Point-countable \(k\)-networks, closed maps, and related results
• On defining a space by a weak base
• Spaces determined by point-countable covers
• Spaces with a locally countable \(sn\)-network
• On the Weak-Open Images of Metric Spaces
• Spaces in which sequences suffice
• MAPPINGS AND SPACES
• A characterization of ℵ0-spaces
• Sequence-covering maps of metric spaces
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