一致连续映射

一个集合上的一致连续映射在向一个紧集做连续扩张时，它必然是一致连续扩张。

When a uniformly continuous mapping on a set is extended to a compact set , the extension must be uniformly continuous .

现有文献对于连续映射扩张的讨论都基于闭集，对于一致连续映射的扩张都局限于En。

In present literature , extension of continuous mapping discussions is discussed on a closed set , extension of uniformly continuous mapping are all confined to En .

此外，我们也研究了一致连续映射的叠合。

Besides , we also study the composition of uniformly continuous multifunctions .

本文在一般的度量空间中对非闭集上连续映射的扩张、任意集合上一致连续映射的扩张以及任意两个集合上连续映射的拼接（扩张的一种形式）进行了讨论。

In a metric space , extension of continuous mapping on a non - closed set and extension of uniformly continuous mapping on any set , as well as the conjunction ( a way of extension ) of continuous mapping on any two sets are discussed in this paper .

多复变数的一致星形映照与一致凸映照一致连续集值映射

On Uniformly Starlike Mappings and Uniformly Convex Mappings in Several Complex Variables