不可数集

若Γ-R≠φ，则Γ-R为不可数集；

If Γ - R is not empty then it is uncountable .

定理2.2.6.存在I2上的一个温顺的右移同胚fa，使得fa有一个基数为a的1-混沌集，但没有不可数的混沌集。

Theorem 2.2.6 . There exists a docile right-translation homeomorphism f_a from I ~ 2 × I ~ 2 to itself such that f_a have a 1 & scrambled set with cardinality a but has no uncountable scrambled set .

作为应用，我们得出Devaney's混沌性质是严格强于具有不可数的s-Scrambled集。

As an application , it is shown that Devaney 's chaos are stronger than the existence of uncountable s-Scrambled sets .

由回归点构成的不可数紊动集的存在性

Existence of Non-Denumerable Chaos Set Constructing by Recurrent Points

该文对单边符号空间上的转移自映射进行了讨论，证明了在非弱几乎周期的回复点集上存在不可数的SS混沌集。

In this paper , the authors discuss the shift of the one-sided symbolic space and prove that there exists an uncountable SS chaotic set , in which each point is recurrent , but is not weakly almost periodic .