不可数集

Countable and uncountable sets , the axiom of choice , Zorn's lemma.

集合论。可数和不可数集，选择公理，佐恩引理。

In a compact system, the limit set of a point can b e countable or uncountable .

紧空间上的动力系统中一点 x的极限集可能是可数的也可能是不可数的。

Prove that the set of odd negative integers is denumerable?

怎么样证明一个集合是不是可数集的问题？

If a is a nonperiodic recurrent point and there is a period point in orb, orb doesn't contain an innumerable scrambled set.

结果 a是符号空间中的非周期回复点，且orb包含一个子转移σ的周期点，则orb不包含一个不可数混乱集。

If a period point exists in a subshift generated by a nonperiodic recurrent orbit, it is not certain that the subshift contains an innumerable scrambled set.

若非周期回复点生成的子转移中存在周期点，则此子转移不一定包含一个不可数混乱集。

Are countable sets:Λ-Γ,〓-Γ are either empty or countably infinite, where Γ denotes the set of γ-limit points of f; tree map's depth of attracting center is finite and the attracting center is Γ provded all the branching points are periodic points. In chapter Ⅲ. we discuss certain relationship between isolated chain recurrent point and eventually periodic point of some continua.

主要利用树的特殊偏序关系证明了：不在周期点集闭包中的ω极限点都有无限轨迹；Ω-〓，Ω-Γ为可数集，Λ-Γ，〓-Γ或为空集或可数无限，其中Γ为f的γ极限点集；当分支点都是周期点时，连续树映射的吸引中心深度有限，且吸引中心就是Γ。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。