| Spaces with σ-point-discrete ℵ
0-weak bases |
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| 作者姓名： | SHEN Rong-xin LIN Shou |
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| 作者单位： | Department of Mathematics, Taizhou Teachers’ College;Department of Mathematics, Nanjing University;Department of Mathematics, Ningde Normal University |
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| 基金项目： | Supported by the National Natural Science Foundation of China （10971185, 11171162, 11201053）; China Postdoctoral Science Foundation funded project （20090461093, 201003571）; Jiangsu Planned Projects for Teachers Overseas Research Funds; Taizhou Teachers College Research Funds |
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| 摘 要： | It is discussed in this paper the spaces with σ-point-discrete N0-weak bases. The main results are: （1） A space X has a σ-compact-finite N0-weak base if and only if X is a k-space with a σ-point-discrete N0-weak base; （2） Under （CH）, every separable space with a σ-point-discrete N0-weak base has a countable N0-weak base.
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| 关 键 词： | N0-weak base σ-point-discrete network σ-compact-finite network separable space. |
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