邻近拓扑空间和一致拓扑空间

CONTIGUOUS TOPOLOGICAL SPACE AND UNIFORM TOPOLOGICAL SPACE

本文在邻近空间和一致空间中得到如下结论 :(1 )设 X是集 ,S是 X的非空子集族 ,(Y,U)是邻近空间 ,E Ym X,则 E中网 { fn:n∈ D}在 S处上 (下 )一致收敛于 f0 ∈ E的充要条件是 :该网在邻近空间 (E,U* (S) ) (或 (E,U* (S) ) )中收敛于 f0 .(2 )若 (Y,U)是一致空间 ,则 (E,U(S) )

In this paper, some results of multifunction spaces are obtained. It is proved that if (Y, U) is a uniform space, (E, U (S)) is also a uniform space, and if (Y, U) is a quasi-uniform space, then (E, U (S)) and (E, U (S)) are also quasi-uniform spaces.