| L-拓扑空间中的γ-紧性 |
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| 引用本文： | 闫彪,何春花,孟广武,孟晗.L-拓扑空间中的γ-紧性[J].山东大学学报(理学版),2007,42(12):99-103. |
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| 作者姓名： | 闫彪 何春花 孟广武 孟晗 |
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| 作者单位： | 聊城大学,数学科学学院,山东,聊城,252059 |
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| 摘 要： | 在L-拓扑空间中引入了γ-开L-集，并利用它们的不等式给出了γ-紧性的定义，这里L是完备的DeMorgan代数。这种定义既不依赖于L的结构也不要求L是完全分配的。它也能够借助于γ-闭L-集和它们的不等式刻画。当L是完全分配DeMorgan代数时,讨论了γ-紧性的更深层特征。
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| 关 键 词： | L-拓扑 γ-开L-集 γ-紧性 |
| 文章编号： | 1671-9352（2007）12-0099-05 |
| 收稿时间： | 2007-06-26 |
| 修稿时间： | 2007年6月26日 |
γ-compactness in L-topological spaces |
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| YAN Biao,HE Chun-hua,MENG Guang-wu,MENG Han.γ-compactness in L-topological spaces[J].Journal of Shandong University,2007,42(12):99-103. |
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| Authors: | YAN Biao HE Chun-hua MENG Guang-wu MENG Han |
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| Institution: | School of Mathematics Science, Liaocheng University, Liaocheng 252059， Shandong， China |
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| Abstract: | In L-topological spaces, γ-open L-sets were introduced and the definition of γ-compactness was presented by inequality, where L was a complete DeMorgan algebra. This definition does not rely on the structure of basic lattice L and no distributivity was required in L. It was characterized by means of γ-closed L-sets and their inequality. The further characterizations of γ-compactness were discussed when L is a completely distributive DeMorgan algebra. |
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| Keywords: | L-topology γ-open L-sets γ-compactness |
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