| L-拓扑空间的局部仿紧性 |
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| 引用本文： | 杨海龙,李生刚. L-拓扑空间的局部仿紧性[J]. 陕西师范大学学报(自然科学版), 2006, 34(2): 30-33 |
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| 作者姓名： | 杨海龙 李生刚 |
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| 作者单位： | 陕西师范大学数学与信息科学学院 陕西西安710062 |
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| 摘 要： | 给出了L-拓扑空间六种局部仿紧性的概念,讨论了它们之间的蕴涵关系.证明了前四种局部仿紧性既是闭可遗传又是开可遗传的,后两种局部仿紧性是闭可遗传的,这些局部仿紧性在某种序同态下保持不变.
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| 关 键 词： | L-拓扑空间 局部仿紧性 完备格 |
| 文章编号： | 1672-4291（2006）02-0030-04 |
| 收稿时间： | 2005-09-09 |
| 修稿时间： | 2005-09-09 |
The local paracompactness of L-topological spaces |
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| YANG Hai-long,LI Sheng-gang. The local paracompactness of L-topological spaces[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 2006, 34(2): 30-33 |
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| Authors: | YANG Hai-long LI Sheng-gang |
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| Abstract: | Six kinds of local paracompactnesses of a L-topological space are introduced,and implication relations among them are studied.It is proved that the first four kinds of the local paracompactnesses are inherited by closed subspaces and open subspaces,and the last two kinds of the local paracompactnesses are inherited by closed subspaces.It is proved that these local paracompactnesses are invariable under some order homomorphism. |
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| Keywords: | L-topological space local paracompactness complete lattice |
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