摘要
纠正了Gentry K R的一篇论文(Some properties of the induced map,Fundamenta Mathematicae 66(1969)55-59)中的错误并推广该文中的一些定理,还给出了逆系统间的映射为极限正则映射的一个充分条件.
The purpose of this note is to correct the errors and to generalize some theorems in Gentry K R ( Some properties of the induced map, Ftmdamenta Mathematicae 66(1969) 55-59). It gives a sufficient condition for a mapping from a inverse system to another inverse system being limit-exact.
出处
《山东大学学报(理学版)》
CAS
CSCD
北大核心
2007年第10期5-8,共4页
Journal of Shandong University(Natural Science)
基金
The National Natural Science Foundation of China(10271069)
The Science Fundfor Young Scholars of North University of China
关键词
拓扑
逆系统
逆极限
诱导映射
单调映射
紧映射
极限正则映射
topology
inverse system
inverse limit
induced mapping
monotone mapping
compact mapping
limit-exact mapping