PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.) Vol. 74(88), pp. 121–128 (2003) 

CHARACTERIZATIONS OF snMETRIZABLE SPACESYing GeDepartment of Mathematics, Suzhou University, Suzhou 215006, ChinaAbstract: We give some characterizations of $sn$metrizable spaces. We prove that a space is an $sn$metrizable space if and only if it has a locallyfinite pointstar $sn$network. As an application of the result, a space is an $sn$metrizable space if and only if it is a sequentially quotient, $\pi$ (compact), $\sigma$image of a metric space. Keywords: $sn$metrizable space; point star network; $sn$network; $\sigma$map; sequentially quotient map; $\pi$map Classification (MSC2000): 54C10; 54D50; 54D55; 54E99 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 21 Dec 2004. This page was last modified: 9 Feb 2005.
© 2004 Mathematical Institute of the Serbian Academy of Science and Arts
