一个关于凸集强分离的充分必要条件及其应用  

One Necessary and Sufficient Condition on Convex Sets Being Strongly Separated and its Applications

作　　者：杨干山[1] 

机构地区：[1]云南民族学院数学系,昆明650031

出　　处：《数学物理学报（A辑）》1997年第S1期102-107,共6页Acta Mathematica Scientia

摘　　要：该文首先给出了关于两个非紧凸集可被强分离的充分必要条件，它是[1，2]中一个定理的改进，然后利用它改进了[4-7]中一些定理和[8]中的一个结果．In this paper,first step,we have obtained one necessary and sufficent condition on noncompact convex sets being strongly separated, it is an improvement of some theorems in [1,2]. Second step, by using the results obtained in first step, we have improved some theorems in [4-7]and one result in[8].

关 键 词：渐近面 公共渐近面 强分离 边界紧集 

分 类 号：O189[理学—数学]