| 完全分配格上的全有界一致结构与邻近结构 |
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| 引用本文： | 史福贵,郑崇友.完全分配格上的全有界一致结构与邻近结构[J].数学进展,2001,30(4):322-328. |
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| 作者姓名： | 史福贵 郑崇友 |
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| 作者单位： | 首都师范大学数学系 |
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| 基金项目： | This paper is supported by National Natural Science Foundation of China. |
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| 摘 要： | 本文的目的是在具有逆序对合对应的完全分配格上研究点式（拟）一致结构与（拟）邻近中构的联系，证明了在全有界点式一致结构与邻近结构间存在一个一一对应关系。
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| 关 键 词： | 拓扑 点式一致结构 邻近结构 逆序对合对应 全有界点式一致结构 完全分配格 |
| 修稿时间： | 1999年1月25日 |
Totally Bounded Pointwise Uniformities and Proximities on Completely Distributive Lattices |
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| Shi Fugui Zheng Chongyou.Totally Bounded Pointwise Uniformities and Proximities on Completely Distributive Lattices[J].Advances in Mathematics,2001,30(4):322-328. |
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| Authors: | Shi Fugui Zheng Chongyou |
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| Abstract: | In this paper we shall study connexions between pointwise (quasi-)uniformities and (quasi-)proximities on completely distributive lattices with order reversing involution . We shall prove that there exists a one-to-one correspondence between totally bounded pointwise (quasi-)uniformities and (quasi-)proximities. |
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| Keywords: | topology pointwise (quasi-)uniformity (quasi-)proximity totally bounded pointwise uniformity completely distributive lattice |
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