Tran Van An; Nguyen Van Dung ls-Ponomarev systems and compact images of locally separable metric spaces. (English) Zbl 1199.54172 Methods Funct. Anal. Topol. 15, No. 4, 391-400 (2009). The notion of a Ponomarev system is used in the study of images of metric spaces [see S. Lin and P. Yan, Commentat. Math. Univ. Carol. 44, No. 2, 295–306 (2003; Zbl 1100.54021); Y. Tanaka and Y. Ge, Houston J. Math. 32, No. 1, 99–117 (2006; Zbl 1102.54034)]. The authors introduce a modification of this notion for locally separable metric spaces and obtain characterizations of certain compact images of such spaces. Reviewer: A. N. Kochubei (Kyïv) MSC: 54E40 Special maps on metric spaces 54D65 Separability of topological spaces Keywords:Ponomarev systems; compact images; locally separable metric spaces Citations:Zbl 1100.54021; Zbl 1102.54034 PDFBibTeX XMLCite \textit{Tran Van An} and \textit{Nguyen Van Dung}, Methods Funct. Anal. Topol. 15, No. 4, 391--400 (2009; Zbl 1199.54172)