| 完全分配格上的Urysohn分离性 |
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| 引用本文： | 方进明,冯彦.完全分配格上的Urysohn分离性[J].模糊系统与数学,2003,17(2):24-29. |
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| 作者姓名： | 方进明 冯彦 |
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| 作者单位： | 中国海洋大学,数学系,山东,青岛,266003 |
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| 基金项目： | The National Science Foundation of Shan Dong Province of China(Q99A0 2 ) |
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| 摘 要： | 在无逆序对合对应的完全分配格上建立Urysohn分离公理，该公理一定推得Hausdorff分离公理^1]且具有遗传性。此外，通过引入滤及网的L—Urysohn收敛理论，得到Urysohn分离性的滤式及网式刻画。
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| 关 键 词： | 完全分配格 无逆序对合对应 Urysohn分离公理 Hausdorff分离公理 滤式 网式 L－Urysohn收敛理论 拓扑分子格 |
Urysohnness on Completely Distributive Lattice |
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| FANG Jin-ming,FENG Yan.Urysohnness on Completely Distributive Lattice[J].Fuzzy Systems and Mathematics,2003,17(2):24-29. |
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| Authors: | FANG Jin-ming FENG Yan |
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| Abstract: | The primary interest of this paper is the investigation of Urysohn axiom on lattices and the lattice is not required to be with any order-reversing involution. We show that the lattice with property of Urysohn must be Hausdorff and the property of Urysohnness is hereditary. Characterizations of Urysohn are given in terms of filters and nets. These characterizations are obtained mainly through the introduction of a type of convergence for filters and nets that we call L-Urysohn-convergence. |
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| Keywords: | Topological Molecular Lattice Co-Topology Urysohn Axiom Heyting Algebra |
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