Lin, S. A note on sequence-covering mappings. (English) Zbl 1081.54025 Acta Math. Hung. 107, No. 3, 187-191 (2005). Summary: Let \(f : X \to Y\) be a mapping. \(f\) is called a sequence-covering mapping if in case \(S\) is a convergent sequence containing its limit point in \(Y\) then there is a compact subset \(K\) of \(X\) such that \(f(K) = S\). It is shown that each quotient and compact mapping of a metric space is sequence-covering. Cited in 2 Documents MSC: 54E40 Special maps on metric spaces 54E20 Stratifiable spaces, cosmic spaces, etc. 54C10 Special maps on topological spaces (open, closed, perfect, etc.) Keywords:sequentially quotient mappings; quotient mappings; sequence-covering mappings PDFBibTeX XMLCite \textit{S. Lin}, Acta Math. Hung. 107, No. 3, 187--191 (2005; Zbl 1081.54025) Full Text: DOI