拟阵闭包算子诱导拓扑空间的分离性  

Separability of Topological Space Induced by the Closure Operator of Matroid

作　　者：黄婧[1] 姜东华[1] 

机构地区：[1]龙岩学院信息工程学院,福建龙岩364000

出　　处：《数学的实践与认识》2016年第9期262-268,共7页Mathematics in Practice and Theory

基　　金：福建省龙岩市龙岩学院百名青年教师攀登项目(LQ2013005)

摘　　要：拟阵是图论与代数的结合,而拓扑学是一门重要的数学基础学科.利用拟阵理论研究拓扑空间,从而将两者进行融合,通过拟阵的闭包算子定义拟阵拓扑空间,进一步利用拟阵闭包算子与拓扑闭包算子之间的关系,讨论拟阵拓扑空间的分离性.Matroid is a combination of graph and matrix while topology is an important basic subject of mathematics.This paper uses matroid to study topological space and combine these two concepts.Firstly,it defines a matroid topological space via closure operator in matroid.Then,it establishes on the seperation axioms of the matroid topological space through the model of the relationship between closure operator of the topological space and closure operator of matroid.

关 键 词：拓扑空间 拟阵 闭包算子 分离公理 

分 类 号：O189.1[理学—数学]