| L-拓扑空间中的半拟紧性 |
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| 引用本文： | 赵杰,杨文君.L-拓扑空间中的半拟紧性[J].模糊系统与数学,2006,20(5):11-14. |
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| 作者姓名： | 赵杰 杨文君 |
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| 作者单位： | 牡丹江师范学院,计算机系,黑龙江,牡丹江,157012 |
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| 基金项目： | The supporting project of creativity for teachers of colleges and universities in Heilongjiang province. |
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| 摘 要： | 在L-拓扑空间中借助于半拟开L-集合和它们的不等式给出了半拟紧性的一个新定义,这里L是完备的DeMorgan代数。它也能够借助于半拟闭L-集和它们的不等式刻画。当L是完全分配的DeMorgan代数时,它的许多刻画被给出了。
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| 关 键 词： | L-拓扑 拟开L-集 半拟开L-集 紧性 半紧性 半拟紧性 |
| 文章编号： | 1001-7402（2006）05-0011-04 |
| 收稿时间： | 2005-12-09 |
| 修稿时间： | 2005年12月9日 |
A New Approach to Semi-precompactness |
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| ZHAO Jie,YANG Wen-jun.A New Approach to Semi-precompactness[J].Fuzzy Systems and Mathematics,2006,20(5):11-14. |
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| Authors: | ZHAO Jie YANG Wen-jun |
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| Institution: | Department of Computer,Mudanjiang Teachers College,Mudanjiang 157012,China |
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| Abstract: | A new definition of semi-precompactness is presented in L-topological spaces by means of semi-preopen L-sets and their inequality, where L is a complete DeMorgan algebra. This new definition does not rely on the structure of the basis lattice L. It can also be characterized by means of semi-preclosed L-sets and their inequality. When L is a completely distributive DeMorgan algebra, its many characterizations are presented. |
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| Keywords: | L-topology Semi-preopen L-set Semi-precompactness |
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