摘要
引入了预拓扑分子格的概念(它是拓扑分子格的推广),并证明了完备格上的闭预拓扑和伪闭包算子是一一对应的.另外,定义了两个预拓扑分子格之间的连续映射、开映射、闭映射和同胚映射并证明了若干特征定理.
In this paper, the notion of pretopological molecular lattice is introduced, which is a generalization of topological molecular lattice. It is proved that closed pretopologies and pseudo-closure operators on a complete lattice are corresponding one by one. Moreover, the concepts of continuous mapping, open mapping, closed mapping and homeomorphic mapping are introduced and characterized.
出处
《纺织高校基础科学学报》
CAS
2005年第3期229-232,共4页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(10271069)
陕西师范大学研究生培养创新基金资助的项目
关键词
完备格
闭预拓扑
预拓扑分子格
闭元
伪闭包算子
开映射
闭映射
complete lattice
closed pretopology
pretopological molecular lattice
closed element
pseudo-closure operator
open mapping
closed mapping
