On Sequence-covering mssc-images of Locally Separable Metric Spaces
Publications de l'Institut Mathématique, _N_S_87 (2010) no. 101, p. 143 .

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We characterize sequence-covering (resp., 1-sequence-covering,inebreak 2-sequence-covering) mssc-images of locally separable metric spaces by means of $\sigma$-locally finite $cs$-networks (resp., $sn$-networks, $so$-networks) consisting of $\aleph_0$-spaces (resp., $sn$-second countable spaces, $so$-second countable spaces). As the applications, we get characterizations of certain sequence-covering, quotient mssc-images of locally separable metric spaces.
Classification : 54E35 54E40 54D55 54E99
Keywords: mssc-mapping, sequence-covering, 1-sequence-covering, 2-sequence-covering, $\sigma$-locally finite, $cs$-network, $sn$-network, $so$-network
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     author = {Nguyen Van Dung},
     title = {On {Sequence-covering} mssc-images of {Locally} {Separable} {Metric} {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {143 },
     publisher = {mathdoc},
     volume = {_N_S_87},
     number = {101},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2010_N_S_87_101_a11/}
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Nguyen Van Dung. On Sequence-covering mssc-images of Locally Separable Metric Spaces. Publications de l'Institut Mathématique, _N_S_87 (2010) no. 101, p. 143 . http://geodesic.mathdoc.fr/item/PIM_2010_N_S_87_101_a11/