-Ponomarev’s System and Images of Locally Separable Metric Spaces
Tran Van An, Luong Quoc Tuyen (2013)
Publications de l'Institut Mathématique
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Tran Van An, Luong Quoc Tuyen (2013)
Publications de l'Institut Mathématique
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Luo, Zhiming (2005)
International Journal of Mathematics and Mathematical Sciences
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Shou Lin, Peng Fei Yan (2003)
Commentationes Mathematicae Universitatis Carolinae
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The main purpose of this paper is to establish general conditions under which -spaces are compact-covering images of metric spaces by using the concept of -covers. We generalize a series of results on compact-covering open images and sequence-covering quotient images of metric spaces, and correct some mapping characterizations of -metrizable spaces by compact-covering -maps and -maps.
Zhaowen Li (2005)
Czechoslovak Mathematical Journal
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In this paper, we give the mapping theorems on -spaces and -metrizable spaces by means of some sequence-covering mappings, mssc-mappings and -mappings.
Zhaowen Li (2006)
Archivum Mathematicum
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In this paper, spaces with -locally countable weak-bases are characterized as the weakly open msss-images of metric spaces (or -first countable spaces with -locally countable -networks).