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

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CHARACTERIZATIONS OF sn-METRIZABLE SPACES

Ying Ge

Department of Mathematics, Suzhou University, Suzhou 215006, China

Abstract: 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 locally-finite point-star $sn$-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

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Electronic fulltext finalized on: 21 Dec 2004. This page was last modified: 9 Feb 2005.

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