S-仿紧性的层次刻画  

Stratiform Characterizations of S-paracompactness

作　　者：孟广武[1] 

机构地区：[1]聊城大学学报(自然科学版)编辑部,山东聊城252059

出　　处：《聊城大学学报（自然科学版）》2014年第1期1-7,共7页Journal of Liaocheng University:Natural Science Edition

基　　金：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.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.

关 键 词：L-拓扑学 S-仿紧性 C-仿紧性 层次闭集 

分 类 号：O189.13[理学—数学]