敏感性与Furstenberg族(英文)

Sensitivity and Furstenberg Family

设X是一个紧致度量空间,f:X→X是连续的。引入了F敏感性的概念,F是非负整数集的子集构成的集族且是遗传向上的。得到了F敏感性的一些性质和充分条件。给出了极小系统是Fs敏感的一个刻画。

Let X be a compact metric space andf：X→X be continuous.In the present paper,the notion of F sensitivity is introduced,where Fis a collection of subsets of Z＋ that is hereditary upward.Some properties and sufficient conditions of F sensitivity are obtained.In particular,we give a charcterization of Fs sensitivity for minimal maps.