A Mapping Theorem on Aleph-spaces
Zhaowen Li (2005)
Matematički Vesnik
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Zhaowen Li (2005)
Matematički Vesnik
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Li, Zhaowen (2005)
International Journal of Mathematics and Mathematical Sciences
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Van An, Tran, Van Dung, Nguyen (2008)
International Journal of Mathematics and Mathematical Sciences
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Jinjin Li (2003)
Czechoslovak Mathematical Journal
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In this paper, the relationships between metric spaces and -metrizable spaces are established in terms of certain quotient mappings, which is an answer to Alexandroff’s problems.
Hana Vymazalová (1976)
Archivum Mathematicum
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Luong Quoc Tuyen (2012)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we prove that each sequence-covering and boundary-compact map on -metrizable spaces is 1-sequence-covering. Then, we give some relationships between sequence-covering maps and 1-sequence-covering maps or weak-open maps, and give an affirmative answer to the problem posed by F.C. Lin and S. Lin in [].