广义邻域系与广义内部算子  

Generalized Neighborhood Systems and Generalized Interior Operators

作　　者：赵方方[1] 高琴[2] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059 [2]枣庄市第三中学(枣庄市实验高中),山东枣庄277102

出　　处：《聊城大学学报（自然科学版）》2015年第4期1-4,共4页Journal of Liaocheng University:Natural Science Edition

基　　金：国家自然科学基金项目(11501278);山东省自然科学基金项目(ZR2013AQ011);聊城大学科研基金项目(318011409)资助

摘　　要：在一般拓扑学中,邻域系和内部算子都可以刻画拓扑.通过弱化邻域系公理和内部算子公理,分别引入了广义邻域系和广义内部算子的概念,并详细研究了二者之间的关系.结果表明,广义邻域系和广义内部算子之间存在着较好的对应关系.In general topology, both neighborhood systems and interior operators can characterize topology. By weakling the axioms of neighborhood systems and those of interior operators, the notions of generalized neighborhood systems and those of generalized interior operators are investigated, and their relationships are discussed. The results show that there exist nice corresponding relation between generalized neighborhood systems and generalized interior operators.

关 键 词：拓扑学 广义邻域系 广义内部算子 

分 类 号：O189.1[理学—数学]