| 连续偏序集上的p.q.度量与格上的拟一致结构 |
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| 引用本文： | 李永明.连续偏序集上的p.q.度量与格上的拟一致结构[J].建筑科学与工程学报,1993(4). |
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| 作者姓名： | 李永明 |
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| 作者单位： | 西北建筑工程学院基础科学系 |
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| 摘 要： | 利用拟一致分子格、拓扑分子格的分明化定理,比较自然地引入了连续偏序集上的一种p.q.度量,证明了其与完全分配格上的拟一致结构的相互确定关系,并证明了其序列式性质与可数可乘性。这一种度量是一般拓扑学中的伪拟度量的自然而颇具序特色的推广。
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| 关 键 词： | 拟一致CP—空间 p.q.度量 p.q.度量CP—空间 |
The p. q. metric Over Continuous Poset and the Quasi-uniform Structures Over Completely Distributive Lattice |
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| Li Yongming.The p. q. metric Over Continuous Poset and the Quasi-uniform Structures Over Completely Distributive Lattice[J].Journal of Architecture and Civil Engineering,1993(4). |
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| Authors: | Li Yongming |
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| Affiliation: | Department of Basic Science |
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| Abstract: | With the help of the crisp theorem of quasi-uniform molecular lattices and topological molecular lattices, a nice p. q. metric over continuous poset is introduced naturally. Next, the relation with the quasi-uniform structure over completely distributive lattice, its property of sequential and countable productable are shown, As a results, this p. q. metric will be thought of a natural generalization as the p. q. metric in general topololgy possessing quite the property of order. |
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| Keywords: | quasi-uniform CP-space p q metric p q metric CP-space |
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