| 模糊β-N-紧性 |
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| 引用本文： | 付本路.模糊β-N-紧性[J].数学杂志,2007,27(6):630-636. |
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| 作者姓名： | 付本路 |
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| 作者单位： | 肇庆学院数学系,广东肇庆,526061 |
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| 摘 要： | 本文研究了在L-拓扑空间中引入β-N-紧性概念.借助于β-开a-覆盖和β-开强a-覆盖,得到β-N-紧的L-集合是N-紧的.β-闭的L-集合和β-N-紧的L-集合的交是β-N-紧的.并且证明了β-N-紧性是一般拓扑中β-紧性的良性扩张.
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| 关 键 词： | L-拓扑 N-紧性 β-N-紧性 β-N-compactness |
| 文章编号： | 0255-7797（2007）06-0630-07 |
| 修稿时间： | 2005-07-11 |
FUZZY β-N-COMPACTNESS |
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| FU Ben-lu.FUZZY β-N-COMPACTNESS[J].Journal of Mathematics,2007,27(6):630-636. |
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| Authors: | FU Ben-lu |
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| Institution: | Dept. of Math. ,Zhaoqing University ,Zhaoqing 526061,China |
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| Abstract: | In this paper, we introduce the concept of β-N-compactness in L-topological spaces. By means of the notions of β-open a-shading and β-open strong a-shading, we obtain the following results: A β-N-compact L-set is N-compact. The intersection of a β-closed L-set and a β-N-compact L-set is β-N-compact. It is proved that β-N-compactness is a good extension of β-compactness in general topology. |
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| Keywords: | L-topology N-compactness |
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