拓扑分子格的S紧化与S次紧化  

S-compactification and S-inferior-compactification in Topological Molecular Lattices

作　　者：许兆龙[1] 

机构地区：[1]东华理工学院数学与信息科学学院,江西抚州344000

出　　处：《东华理工学院学报》2006年第1期92-96,共5页Journal of East China Institute of Technology

摘　　要：利用半开元等半拓扑概念引入拓扑分子格的S紧化与S次紧化概念,给出了它们的刻画,推广了王国俊(1990)拓扑分子格的紧化与次紧化概念,得出了拓扑分子格与其最简单点S紧化关于分离性(半分离性)的性质,以及正统拓扑分子格与其最简单点S紧化(S次紧化)关于分离性(半分离性)的性质等。S-compactification and S-inferior-compactification of topological molecular lattices are introduced by semi-open elements, semi-topological concepts etc in this paper, and characterizations of them are given. Concepts of compactification and inferior-compactification of topological molecular lattices in the first reference document by Wang Guo-Jun are generalized. Properties on separation （semi-separation） of topological molecular lattices and its the simplest simple point s-compactification are given, Properties on separation （semi-separation） of orthodox topological molecular lattices and its the simplest simple point s-compactification （s-inferior-compactification） are given.

关 键 词：拓扑分子格 S紧化 S次紧化 局部S紧性 局部S次紧性 

分 类 号：O189[理学—数学] O153.1[理学—基础数学]