关于收缩性逆极限的注记  

A Note on Inverse Limits of Shrinking Properties

作　　者：魏静[1] 赵斌[1] 官春梅[1] 

机构地区：[1]喀什师范学院数学系,新疆喀什844008

出　　处：《喀什师范学院学报》2011年第6期8-10,共3页Journal of Kashgar Teachers College

摘　　要：在假设逆极限空间X=lim←{Xα,παβ,Λ}是λ-仿紧、投射πα为伪开映射的条件下,正规性、收缩性及次收缩性均可为其极限空间保持.为此,对逆极限保持定理的证明作了适当简化,为其他拓扑性质逆极限的简化证明提供了参考.Let X=lim←{Xα,παβ,Λ}, be an inverse system of spaces Xα,｜Λ｜=λ,suppose X is λ-Paracompact,πα is a pseudo-open map.If each Xα satisfy any one of the following properties,then X has also the corresponding property： normal,shrinking,subshrinking.This paper points out that the proof of these properties can be simplified,and provides the reference for other properties of inverse limits.

关 键 词：逆极限 正规性 收缩性 次收缩性 

分 类 号：O189.1[理学—数学]