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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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.
Ge, Ying (2007)
Applied Mathematics E-Notes [electronic only]
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Li, Zhaowen (2005)
International Journal of Mathematics and Mathematical Sciences
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Ying Ge, Shou Lin (2007)
Czechoslovak Mathematical Journal
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In this paper, we prove that a space is a -metrizable space if and only if is a weak-open, and -image of a semi-metric space, if and only if is a strong sequence-covering, quotient, and -image of a semi-metric space, where “semi-metric” can not be replaced by “metric”.
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.