A Mapping Theorem on Aleph-spaces
Zhaowen Li (2005)
Matematički Vesnik
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Zhaowen Li (2005)
Matematički Vesnik
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Van An, Tran, Van Dung, Nguyen (2008)
International Journal of Mathematics and Mathematical Sciences
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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 [].
Ge, Ying (2007)
Applied Mathematics E-Notes [electronic only]
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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.