关于收缩性逆极限的注记
관우수축성역겁한적주기
A Note on Inverse Limits of Shrinking Properties
  • 万方数据
    喀什师范学院学报 객십사범학원학보
    JOURNAL OF KASHGAR TEACHERS COLLEGE
    2011年 6期 8-10 ,共3页

    魏静%赵斌%官春梅

    위정%조빈%관춘매

    逆极限%正规性%收缩性%次收缩性 逆極限%正規性%收縮性%次收縮性
    역겁한%정규성%수축성%차수축성
    Inverse Limit%Normal%Shrinking%Subshrinking
    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.
    재가설역겁한공간X=lim←{Xα,παβ,Λ}시λ-방긴、투사πα위위개영사적조건하,정규성、수축성급차수축성균가위기겁한공간보지.위차,대역겁한보지정리적증명작료괄당간화,위기타탁복성질역겁한적간화증명제공료삼고.
    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.
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