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
Keywords: mssc-mapping, sequence-covering, 1-sequence-covering, 2-sequence-covering, $\sigma$-locally finite, $cs$-network, $sn$-network, $so$-network
@article{PIM_2010_N_S_87_101_a11,
author = {Nguyen Van Dung},
title = {On {Sequence-covering} mssc-images of {Locally} {Separable} {Metric} {Spaces}},
journal = {Publications de l'Institut Math\'ematique},
pages = {143 },
year = {2010},
volume = {_N_S_87},
number = {101},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_2010_N_S_87_101_a11/}
}
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/