摘要
设 W是 Warsaw圈 ,f:W→ W是连续映射 .本文证明 f 是等度连续映射的充分必要条件是下列两个条件之一成立(1) F(f)是一个单点集并且 F(f2 ) =∩∞n=1 fn(W) ;(2 ) F(f) =∩∞n=1 fn(W)
Let W be Warsaw circle and f:W→W be continuous. We show that f is an equicontinuous map if and only if one of the following two conditions holds: (1) F(f) consists of a single point and F(f 2)=∩ ∞ n=1 f n(W).(2) F(f)=∩ ∞ n=1 f n(W).
出处
《数学研究》
CSCD
2002年第3期249-256,共8页
Journal of Mathematical Study
