超空间上集合收敛性的几点注记(英文)  

Notes on Convergence of Sets in Hyperspace

作　　者：秦斌[1] 严可颂[2] 

机构地区：[1]广西财经学院数学与统计系,广西南宁530003 [2]柳州师范高等专科学校数学与计算机科学系,广西柳州545004

出　　处：《柳州师专学报》2009年第5期117-119,共3页Journal of Liuzhou Teachers College

基　　金：This work was supported by the NSFC (No.10661001);partially by the NSF of Guangxi (No.0832275,No.0897012);the Science Foundation of Guangxi Education Department (No.200807MS001);the Natural Science Foundation of Liuzhou Teachers College (LSZ2007A003);the Science Foundation of Guangxi University of Finance and Economics (2009B02)

摘　　要：主要探讨了如何利用超空间2X的Vietoris拓扑中的开集去描述集合序列的上、下极限,并给出了一些反例。In this paper, the authors investigate mainly how to use open sets in Vietoris topology of 2x to give a description of lower limit and upper limit, and some counterexamples axe given.

关 键 词：超空间 上极限 下极限 VIETORIS拓扑 

分 类 号：O190[理学—数学]