×

Characterizations of \(sn\)-metrizable spaces. (English) Zbl 1245.54016

Summary: We give some characterizations of \(sn\)-metrizable spaces. We prove that a space is an \(sn\)-metrizable space if and only if it has a locally finite point-star \(sn\)-network. As an application of the result, a space is an \(sn\)-metrizable space if and only if it is a sequentially quotient, \(\pi\) (compact), \(\sigma\)-image of a metric space.

MSC:

54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54D50 \(k\)-spaces
54D55 Sequential spaces
PDFBibTeX XMLCite
Full Text: DOI