集值映射空间的收敛与邻近结构

S.Lubkin1]对一个集合X定义邻近结构u,并把(X,u)称为空间。邻近结构是介于拓扑结构和一致结构之间的一种结构。本文将以作者在6]中使用的集合间包含运算为工具,研究集值映射空间的邻近结构,以及刻划集值映射网的各种收敛的各种邻近结构。

Convergences and Contiguities in Spaces of Set-valued Maps

In this paper, we have first investigated various contiguities of spaces of set-valued maps from the set x to contiguous spaces and their important properties; secondly we have studied concepts of pointwise convergences, uniform convergences and almost uniform convergences of nets in E.and various contiguities associated with the foregoing convergences; lastly We have discussed relationships among these convergences and the contiguities corresponding to them.