S连续集值映射空间中的星点态收敛拓扑和星一致收敛拓扑

The Topology of Star Point-wise Convergence and the Topology of Star Uniform convergence in the Space of S-continuity Set-value Mapping

本文在集值映射空间中引进了Ｓ连续的概念，讨论了集值映射空间中的三种连续（连续、星连续和Ｓ连续）间的关系，并在Ｓ连续集值映射空间中得到了星点态收敛拓扑和星一致收敛拓扑之间的关系。

In this paper, we introduce the concept of S-continuity in set-value space, discuss the relations of three contiuaities(continuity, star-continuity and S-continuity), and get the relation between topology of star point -wise conucrgcncc and topology of star uniform convergence in the space of s-continuous set- value mapping.