Publications de l'Institut Mathématique, Nouvelle Série Vol. 93(107), pp. 145–152 (2013) 

SPACES WITH $\sigma$LOCALLY FINITE LINDELÖF snNETWORKSLuong Quoc TuyenDepartment of Mathematics, Da Nang University of Education, 459 Ton Duc Thang, Lien Chieu, Da Nang city, VietnamAbstract: We prove that a space $X$ has a $\sigma$locally finite Lindelöf snnetwork if and only if $X$ is a compactcovering compact and msscimage of a locally separable metric space, if and only if $X$ is a sequentiallyquotient $\pi$ and msscimage of a locally separable metric space, where "compactcovering" (or "sequentiallyquotient") can not be replaced by "sequencecovering". As an application, we give a new characterization of spaces with locally countable weak bases. Keywords: weak base, snnetwork, locally finite, Lindelöf, compactcovering map, compact map, msscmap Classification (MSC2000): 54E35, 54E40; 54D65, 54E99 Full text of the article: (for faster download, first choose a mirror)
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