Star-countable \(k\)-networks, and quotient images of locally separable metric spaces

DOI10.1016/S0166-8641(97)00060-6zbMath0896.54019OpenAlexW2043373382MaRDI QIDQ1379800

Chu-An Liu, Yoshio Tanaka

Publication date: 10 May 1998

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(97)00060-6

zbMATH Keywords

\(k\)-networkcompact mapquotient map\(k\)-space\(s\)-mapstar-countable cover

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Topological spaces with richer structures (54E99) Special maps on metric spaces (54E40) Quotient spaces, decompositions in general topology (54B15)

Related Items (3)

Notes on countable tightness of the subspaces of free (abelian) topological groups ⋮ Sequence-covering maps of metric spaces ⋮ On the countable tightness of product spaces

Cites Work

• Spaces with a star-countable k-network, and related results
• On spaces with point-countable cs-networks
• On CF families and hyperspaces of compact subsets
• \(g\)-metrizability and \(S_ \omega\)
• On defining a space by a weak base
• Spaces determined by point-countable covers
• On decomposition spaces of locally compact spaces
• Metrizabillity of certain quotient space
• Quotient and Pseudo-Open Images of Separable Metric Spaces
• A quintuple quotient quest
• Topologies on Spaces of Subsets
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