关于[0,1]上使用特殊键映射的逆向限

Inverse Limits on Using Specific Bonding Maps

研究了关于［０，１］上使用键映射ｆｔ（ｘ）＝２ｘ，０≤ｘ≤１／２２（ｔ－１）（ｘ－１）＋ｔ，１／２＜ｘ≤１｛对于０≤ｔ≤１的逆向极限．正如逆向极限从弧段到不可分解的连续统一样。

In this paper, we investigate inverse limits on using a single bonding map chosen from the specific family,f t(x)=2x, 0≤x<1/2 2(t-1)(x-1)+t, 1/2<x≤1for 0≤t≤1 . Many interesting continua occur such as inverse limits from arcs to indecomposable continua.