模糊拓扑空间的m-仿紧  

The m-paracompactness in Fuzzy Topological Spaces

作　　者：兰尧尧[1] 李庆国[1] 

机构地区：[1]湖南大学数学与计量经济学院,湖南长沙410082

出　　处：《模糊系统与数学》2007年第4期47-52,共6页Fuzzy Systems and Mathematics

基　　金：湖南省自然科学基金资助项目

摘　　要：在模糊拓空间中引进一个称作m-仿紧的仿紧性定义,证明了它是仿紧性"好的推广",并探讨了m-L ind elo。f性质。In this paper a new kind concept of paracompactness which is called m-paracompactness was introduced. The relationship between this para-compactness and others were discussed, some of its properties such as good extension, hereditary with respect to ,closed subsets and weakly topological property were obtained. At last, the m-Lindeloef property was investigated.

关 键 词：m-仿紧 强开覆盖 局部有限 m-Lindeloef 

分 类 号：O189.11[理学—数学]