Publications de l'Institut Mathématique, Nouvelle Série Vol. 93(107), pp. 133–144 (2013) 

$L$PONOMAREV'S SYSTEM AND IMAGES OF LOCALLY SEPARABLE METRIC SPACESTran Van An and Luong Quoc TuyenDepartment of Mathematics, Vinh University, Vinh City, Vietnam and Department of Mathematics, Da Nang University, Danang City, VietnamAbstract: We introduce the notion of an $L$Ponomarev system $(f,M,X,\mathcal P_n^*)$, and give characterizations of certain msssimages (resp., msscimages) of locally separable metric spaces. As an application, we get a new characterization of quotient msssimages (msscimages) of locally separable metric spaces, which is helpful in solving Velichko's question (1987). Keywords: sonetwork, snnetwork, csnetwork, cfpnetwork, cs$^*$network, 2sequencecovering, 1sequencecovering, sequencecovering, compactcovering, sequentiallyquotient, msssmap, msscmap Classification (MSC2000): 54C10, 54D55, 54E40, 54E99 Full text of the article: (for faster download, first choose a mirror)
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