| 完全分配格上的商拓扑 |
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| 引用本文： | 徐源富. 完全分配格上的商拓扑[J]. 山东大学学报(理学版), 1990, 0(3) |
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| 作者姓名： | 徐源富 |
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| 作者单位： | 山东大学数学系 |
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| 摘 要： | 给出了具有逆序对合对应的完全分配格上商拓扑的定义,讨论了商拓扑的一些性质。通过引进正则等价关系的概念,证明了用等价关系和连续映射两种方法定义的商拓扑 fuzz 是同胚的。
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| 关 键 词： | 商拓扑 逆序对合对应 序同态 商拓扑 fuzz |
QUOTIENT TOPOLOGY ON COMPLETELY DISTRIBUTIVE LATTICES |
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| Xu Yuanfu. QUOTIENT TOPOLOGY ON COMPLETELY DISTRIBUTIVE LATTICES[J]. Journal of Shandong University, 1990, 0(3) |
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| Authors: | Xu Yuanfu |
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| Abstract: | In this paper,the definition of quotient topology on fuzzes was given. Some properties of quotient topology were discussed.By introducing the concept of regular equivalence relation.It is proved that quotient topology fuzzes defined by equivalence relation and continuous mapping are homeo- morphic. |
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| Keywords: | quotient topology order-reversing involutions order-homomor-phism quotient topology fuzz |
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