| 弱L-余拓扑空间的层紧性 |
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| 引用本文： | 于娜,孟晗,孟广武.弱L-余拓扑空间的层紧性[J].汕头大学学报(自然科学版),2008,23(4):16-20. |
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| 作者姓名： | 于娜 孟晗 孟广武 |
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| 作者单位： | 聊城大学数学科学学院,山东聊城,252059 |
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| 基金项目： | 山东省软科学资助项目
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| 摘 要： | 在弱L-余拓扑空间中引入层紧集概念,并用滤子和网给出层紧性的等价刻画,证明了层紧性在弱连续的L-值Zadeh型函数下是不变的,最后给出链所具有的特征.
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| 关 键 词： | 模糊拓扑 弱L-余拓扑空间 层紧性 滤子 网 |
Layer Compactness of the Weakly L-Cotopology Spaces |
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| YU Na,MENG Han,MENG Guang-wu.Layer Compactness of the Weakly L-Cotopology Spaces[J].Journal of Shantou University(Natural Science Edition),2008,23(4):16-20. |
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| Authors: | YU Na MENG Han MENG Guang-wu |
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| Institution: | (School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China) |
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| Abstract: | The concept of layer-compact set is introduced into the weakly L-cotopology spaces.The concept of layer compactness is defined and characterized in terms of nets and filters.It is shown that the layer-compactness is invariant under the weakly continuous L-val- ued Zadeh function.The characterization of chains is given. |
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| Keywords: | fuzzy topological spaces weakly L-cotopology spaces layer compactness filter net |
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