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拓扑分子格的S紧性和S次紧性
S Compactness and S Inferior-compactness in Topological Molecular Lattices
【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。
【Abstract】 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;
【Key words】 Topological Molecular Lattices; S Compactness; S Inferior-compactness; Irresolute Order-(homomorphism; Semi-topological Properties);
【Key words】 Topological Molecular Lattices; S Compactness; S Inferior-compactness; Irresolute Order-(homomorphism; Semi-topological Properties);
- 【文献出处】 模糊系统与数学 ,Fuzzy Systems and Mathematics , 编辑部邮箱 ,2004年03期
- 【分类号】O189
- 【被引频次】1
- 【下载频次】42