计算机工程与应用2016，Vol.52Issue(21)：68-71,4.DOI:10.3778/j.issn.1002-8331.1603-0126
闭包算子与邻域系的广义化
Generalizations of closure operators and neighborhood systems
摘要
Abstract
By weaking the axioms of closure operators in general topology, the notion of generalized closure operator is investigated, and its relations to general neighborhood systems introduced earlier by the authors are studied. In particular, it is proven that there exists a natural complete lattice isomorphism between generalized closure operators and general neighborhood systems.关键词
拓扑学/广义邻域系/广义闭包算子/完备格同构Key words
topology/generalized neighborhood system/generalized closure operator/complete lattice isomorphism分类
数理科学引用本文复制引用
赵方方,李令强..闭包算子与邻域系的广义化[J].计算机工程与应用,2016,52(21):68-71,4.基金项目
国家自然科学基金（No.11501278）；山东省自然科学基金（No.ZR2013AQ011）；聊城大学科研基金（No.318011505）。 （）
