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On sequence-covering \(pi\)-\(s\)-images of locally separable metric spaces. (English) Zbl 1274.54091

Summary: We introduce the notion of double \(cs\)-cover and give a characterization on sequence-covering \(\pi\)-\(s\)-images of locally separable metric spaces by means of double \(cs\)-covers having the \(\pi\)-property of \(\aleph_0\)-spaces.

MSC:

54E35 Metric spaces, metrizability
54D65 Separability of topological spaces
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
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