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ls-Ponomarev systems and compact images of locally separable metric spaces. (English) Zbl 1199.54172

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.

MSC:

54E40 Special maps on metric spaces
54D65 Separability of topological spaces
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