拓扑分子格的S紧性和S次紧性  

S Compactness and S Inferior-compactness in Topological Molecular Lattices

作　　者：许兆龙[1] 许志军[1] 

机构地区：[1]东华理工学院计算科学与信息管理系,江西临川344000

出　　处：《模糊系统与数学》2004年第3期54-61,共8页Fuzzy Systems and Mathematics

摘　　要：利用半开元等半拓扑概念在拓扑分子格中引入 S紧性与 S次紧性 ,给出了它们的刻画 ,推广了文 [1]中的紧性与次紧性 ,证明了拓扑分子格的 S紧性 ,S次紧性 ,STi 分离性 (i=- 1,0 ,1,2 )与 ST*i 分离性 (i=0 ,1,2 )为半拓扑性质。In this paper, S compactness and S inferior-compactness are introduced by semi-open (elements) etc semi-topological concepts. Characterizations of them are given. Compactness and inferior Compactness in paper [1] are generalized. It is proved that S compactness, S inferior-compactness, ST i(i=-1,0,1,2) and ST~~* i(i=0,1,2) separation axioms in topological molecular lattices are (semi-topological properties.)

关 键 词：拓扑分子格 S紧性 S次紧性 不定序同态 半拓扑性质 

分 类 号：O189[理学—数学] O153.1[理学—基础数学]