L-拓扑空间中的γ-紧性

L-拓扑空间中的γ-紧性

闫彪，何春花，孟广武，孟晗

聊城大学数学科学学院, 山东聊城 252059

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 闫彪

γ-compactness in L-topological spaces

YAN Biao， HE Chun-hua， MENG Guang-wu， MENG Han

School of Mathematics Science, Liaocheng University, Liaocheng 252059， Shandong， China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: YAN Biao

摘要/Abstract

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。

关键词: L-拓扑, γ-紧性 , γ-开L-集

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.

Key words: γ-compactness , γ-open L-sets, L-topology

中图分类号:

O189

闫彪,何春花,孟广武,孟晗 . L-拓扑空间中的γ-紧性[J]. J4, 2007, 42(12): 99-103 .

YAN Biao,HE Chun-hua, MENG Guang-wu, MENG Han . γ-compactness in L-topological spaces[J]. J4, 2007, 42(12): 99-103 .

参考文献

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