| L-拓扑空间中的W-仿紧性 |
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| 引用本文： | 刘红平,孟广武,于跃.L-拓扑空间中的W-仿紧性[J].模糊系统与数学,2009,23(5). |
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| 作者姓名： | 刘红平 孟广武 于跃 |
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| 作者单位： | 刘红平(湖南大学,数学与计量经济学院,湖南,长沙,410082;聊城大学,数学科学学院,山东,聊城,252059);孟广武,于跃(聊城大学,数学科学学院,山东,聊城,252059) |
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| 基金项目： | 山东省软科学项目，教育部科学技术研究重点项目 |
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| 摘 要： | 利用α-局部有限族在L-拓扑空间中定义了一种新型强F仿紧性--W-仿紧性,证明了这种仿紧性具有一些好的性质,比如L-good extension,闭遗传,弱同胚不变性,强F紧集与W-仿紧集的乘积是W-仿紧集.并同时证明了W-仿紧性可以增强分离性,最后讨论了W-仿紧性与其他仿紧性之间的关系.
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| 关 键 词： | L-拓扑空间 α-局部有限 W-仿紧性 S*正则 S*正规 |
W-paracompactness in L-topological Spaces |
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| Abstract: | By the concept of α-locally finite family, we introduce a new strong fuzzy paracompactness called W-paracompactness in L-fuzzy topological spaces, it is proved that W-paracompactness has many good properties, such as that it is L-good extension, hereditary with respect to closed subsets, weakly in homeomorphic invariant property, and that the Cartesian product of a strong fuzzy compact space and a W-paracompact space is a W-paracompact space, as well as that a W-paracompact Hausdorff space is both a regular and a normal space. At last,we have a discussion about the relations of W-paracompactness and other paracompactness. |
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| Keywords: | L-topological Space α-locally Finite W-paracompactness S~* Regularity S~* Normality |
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