An Equivalent Condition of Weak Mixing

@inproceedings{Gongfu2007AnEC,
  title={An Equivalent Condition of Weak Mixing},
  author={Liao Gong-fu},
  year={2007}
}
Let X be a compact metric space containing at least two points and let f:X→X be continuous.In this paper,we introduce the notion of totally maximum sensitive(TMS,for short)and prove that f is weakly mixing if and only if it is TMS,and if X=[0,1],then f is weakly mixing if and only if it is 2-maximum sensitive.