摘要
把文[1],[2]中的两个定理进行了拓广和改进,给出两个一致连续映射的扩张定理:(i)任一集合A到一个完备度量空间的一致连续映射可一致连续扩张到A珡上.(ii)任一闭集A到Rn的一致连续映射可一致连续扩张到A与任一紧集的并.
Abstract： Two theorems of the paper [1] and [2] are spread continuous mapping and uniformly continuous mapping are given： （i） a complete metric space can be uniformly continuously extended ton. set A into R^n can be uniformly continuously extended to the union of and improved, and two theorems of extension of A uniformly continuous mapping from a set A into （ii） A uniformly continuous mapping from a closed set A and any compact set.
出处
《大学数学》
2013年第2期56-58,共3页
College Mathematics
关键词
一致连续映射
映射的扩张
紧集
Tietze扩张定理
uniformly continuous mapping
extension of mapping
compact set
Tietze extension theorem
