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S-仿紧性的层次刻画
引用本文:孟广武.S-仿紧性的层次刻画[J].聊城大学学报(自然科学版),2014(1):1-7.
作者姓名:孟广武
作者单位:聊城大学学报(自然科学版)编辑部,山东聊城252059
基金项目:国家自然科学基金(61273044);山东省中青年科学家科研奖励基金(BS2010SF004);聊城大学科研基金(X10013)
摘    要:在L-拓扑空间中定义了层次取补算子,引入了层次余加细和层次局部有限族的概念.以此为工具,利用两种层次闭集给出了S-仿紧性的几个新特征.此外,揭示了C-仿紧性和S-仿紧性之间的关系.

关 键 词:L-拓扑学  S-仿紧性  C-仿紧性  层次闭集

Stratiform Characterizations of S-paracompactness
MENG Guang-wu.Stratiform Characterizations of S-paracompactness[J].Journal of Liaocheng University:Natural Science Edition,2014(1):1-7.
Authors:MENG Guang-wu
Institution:MENG Guang-wu (Editorial Department of Journal of Liaocheng University, Natural Science Edition ,Liaocheng 252059,China)
Abstract:In L-topological space, stratocomplement operator is defined, the concepts of stratiform co-refinement and stratiform locally finite family of sets are introduced. On the basis of this, some new characterizations of S-paracompactness are obtained, by means of two kinds of stratiform closed sets. In addition, the relations between S-paracompactness and C-paracompactness is built.
Keywords:L-topology  S-paracompactness  C-paracompactness  strato-closed set
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