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On sequence-covering msss-maps. (English) Zbl 1140.54012

The authors study and characterize spaces which are images of metric spaces under several sorts of continuous mappings involving \(msss\)-mappings. For example: a space \(X\) is a 1-sequence-covering \(msss\)-image of a metric space if and only if it has a \(\sigma\)-locally countable \(cs\)-network.

MSC:

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