集值映射网的拓扑收敛  

Topological Convergence of the Set-valued Mapping Net

作　　者：崔瑶[1] 郭润玺[2] 

机构地区：[1]东北林业大学数学系 [2]呼兰师范专科学校数学系

出　　处：《黑龙江大学自然科学学报》1993年第2期28-32,共5页Journal of Natural Science of Heilongjiang University

摘　　要：本文首先将G．Beer在[1]中给出的由度量空间到度量空间的单值函数列的拓扑空间到拓扑空间的集值映射网上,然后以集合间的*包含运算为工具,分别研究了由拓朴空间到一致空间的集值*连续映射网的拓扑收敛与点态收敛、一致收敛的关系,从而推广了[1][2]的结果.G. Beer presented topological convergence of single function sequence convergence of single function sequence {fn} from metric space X to metric space Y. In this paper, we extend the concept topological convergence to set-valued mapping net from topological space X to Y, then we study the relationship of topological convergence, pointwise convergence and uniform convergence of *continuous set-valued mapping net from topological space to uniform space using *included operation.

关 键 词：集值映射 拓扑 收敛 

分 类 号：O189[理学—数学]