-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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Displaying similar documents to “-metrizable spaces and related matters.”
-Ponomarev’s System and Images of Locally Separable Metric Spaces
Spaces With -Locally Finite Lindelöf sn-Networks
Luong Quoc Tuyen (2013)
Publications de l'Institut Mathématique
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The class of -spaces is invariant of closed mappings with Lindelöf fibres
Shu Hao Sun (1988)
Commentationes Mathematicae Universitatis Carolinae
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Closed mapping theorems on -spaces with point-countable -networks
Alexander Shibakov (1995)
Commentationes Mathematicae Universitatis Carolinae
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We prove some closed mapping theorems on -spaces with point-countable -networks. One of them generalizes Lašnev’s theorem. We also construct an example of a Hausdorff space with a countable base that admits a closed map onto metric space which is not compact-covering. Another our result says that a -space with a point-countable -network admitting a closed surjection which is not compact-covering contains a closed copy of .
Spaces with -locally countable weak-bases
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).