N维欧氏空间中开集的各种区间构造  

Interval Construction Theorems of Open Sets in N-Dimension Euclid Spaces

作　　者：唐建国[1] 

机构地区：[1]惠州学院数学系,广东惠州516007

出　　处：《惠州学院学报》2013年第6期37-39,共3页Journal of Huizhou University

基　　金：广东省人才引进资金项目(A 4 10.0204);惠州学院科研项目(C 5 11.0211)

摘　　要：本文在分析了以往开集构造定理证明的基础上,完全从开集的定义出发给出了直线上和高维欧氏空间上开集构造定理的另一证明.如果在开集构造中不要求区间互不相交,还给出并证明了高维欧氏空间上开集的左开右闭、开区间、闭区间构造定理.On the basis of the proofs of construction theorems of open sets in the past, we give new proofs of construction theorems of open sets on line and on completely from the definition of open set. When giving up interval series having no intersection each other in construction of open sets, we give and prove two new construction theorems of open interval and closed interval on R^n.

关 键 词：开集 区间 构造定理 

分 类 号：O174.1[理学—数学]