关于逆系统的几个性质

Some Properties about Inverse Systems

本文将紧空间的逆系统,紧群的逆系统的几个性质推广于局部紧的,σ-紧的拓扑空间或拓扑群的逆系统。还得到由一般拓扑群的正合下序列所构成的逆系统的极限序列为正合的条件,它包含了紧群情形下的已知结果。

In this paper we obtain same properties abeut inverse isystems of locally compact, σ^-ompact spaces or groups which are exiensions of the ocrresponding properties holding when the spaces or he groups under consideration arecompact. We abtain also a condition, under which the limit sequence of an nverse system of exact lower sequences with topological groups as its terms is exact.