Sequence-covering maps of metric spaces

DOI10.1016/S0166-8641(99)00163-7zbMath0966.54012OpenAlexW2111071879MaRDI QIDQ5925887

Lin, Shou, Yan, Pengfei

Publication date: 16 August 2001

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(99)00163-7

zbMATH Keywords

1-sequence-covering mappoint-countable coversquotient mapssequential space

Mathematics Subject Classification ID

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

Related Items (18)

Unnamed Item ⋮ Spaces with locally countable weak bases and some preservations by 1-sequence-covering maps ⋮ On \(ls\)-Ponomarev systems and \(s\)-images of locally separable metric spaces ⋮ Unnamed Item ⋮ A study on symmetric products of generalized metric spaces ⋮ \(so\)-metrizable spaces and images of metric spaces ⋮ Unnamed Item ⋮ Cauchy symmetric spaces with point-countable \(cs\)-networks ⋮ 1-sequence-covering mappings in \(ls\)-Ponomarev-systems ⋮ On strongly \(g\)-developable spaces ⋮ Unnamed Item ⋮ g-metrizable spaces and the images of semi-metric spaces ⋮ Mapping Theorems on Spaces with sn-Network g-Functions ⋮ Compact images of spaces with a weaker metric topology ⋮ On sequence-covering \(msss\) -images of locally separable metric spaces ⋮ Induced mappings on symmetric products of Hausdorff spaces ⋮ s-Sequence-Covering Mappings on Metric Spaces ⋮ On statistically sequentially quotient maps

Cites Work

• On spaces with point-countable cs-networks
• A relation between perfect separability, completeness, and normality in semi-metric spaces
• A note on the Arens' space and sequential fan
• Star-countable \(k\)-networks, and quotient images of locally separable metric spaces
• Quotient spaces of metrizable spaces
• Spaces determined by point-countable covers
• Sequentially quotient mappings
• Images on locally separable metric spaces
• Spaces in which sequences suffice
• MAPPINGS AND SPACES
• On Paracompactness in Function Spaces with the Compact-Open Topology
• A characterization of ℵ0-spaces
• Sequence-covering and countably bi-quotient mappings
• Quotient and Pseudo-Open Images of Separable Metric Spaces
• Compact-Covering Images of Metric Spaces
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