Geodesic
Characterizations of Sn-metrizable Spaces
Publications de l'Institut Mathématique, _N_S_74 (2003) no. 88, p. 121

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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.
Classification : 54C10 54D50 54D55 54E99
Keywords: sn-metrizable space, point star network, sn-network, sigma-map, sequentially quotient map, pi-map 
@article{PIM_2003_N_S_74_88_a12,
     author = {Ying Ge},
     title = {Characterizations of {Sn-metrizable} {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {121 },
     publisher = {mathdoc},
     volume = {_N_S_74},
     number = {88},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2003_N_S_74_88_a12/}
}
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Ying Ge. Characterizations of Sn-metrizable Spaces. Publications de l'Institut Mathématique, _N_S_74 (2003) no. 88, p. 121 . http://geodesic.mathdoc.fr/item/PIM_2003_N_S_74_88_a12/