【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.更多还原

【Abstract】 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.更多还原