| 度量空间的序列复盖SS一映射 |
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| 引用本文： | 李克典.度量空间的序列复盖SS一映射[J].数学研究,1998(4). |
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| 作者姓名： | 李克典 |
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| 作者单位： | 商丘师范高等专科学校!河南，476000 |
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| 基金项目： | 河南省自然科学基金，河南省教委资助 |
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| 摘 要： | 证明了如下结果：（l）拓扑空间X具有局评可数弱基当且仅当X＃A星空间的1一序列复盖商ss-掩映象；（2）拓升空间X具有局都可数基当且仅当XRk量空间的2一序列复盖商ss一映象．
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| 关 键 词： | 弱基 序列邻域 序列复盖映射 商映射 ss-映射 M-ss映射 序列开集 |
An Sequence-covering ss-image of a metric Space |
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| Li Ked ian.An Sequence-covering ss-image of a metric Space[J].Journal of Mathematical Study,1998(4). |
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| Authors: | Li Ked ian |
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| Abstract: | in this paper, we show that the following results: (1) a topological space X has a locally countable weak base if and only if it is an 1-sequence -covering quotient ss-image of a metric space; (2) a topological space X has a locally countable base if and only if it is an 2-sequence-covering quotient ss-image of a metric space. |
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| Keywords: | Weak base Sequential neighborhood Sequence-covering map Quotient map ss-map Mare-map Sequential open set |
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