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A characterization of closed images of metric spaces. (English) Zbl 0592.54027
Summary: We prove that a regular topological space is the image of a metric space under a closed mapping if and only if it is a Fréchet space with a \(\sigma\)-hereditarily closure-preserving k-network.

MSC:
54E18 \(p\)-spaces, \(M\)-spaces, \(\sigma\)-spaces, etc.
54D55 Sequential spaces
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