The Centre and the Depth of the Centre for Continuous Maps on Dendrites with Finite Branch Points
The Centre and the Depth of the Centre for Continuous Maps on Dendrites with Finite Branch Points
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DOI：
10.1007/s12346-016-0204-1
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发表时间：
2016-06
影响因子：
1.4
通讯作者：
T. Sun;H. Xi
中科院分区：
文献类型：
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作者：
T. Sun;H. Xi
设是具有有限分支点的树枝晶，且是连续的。用r(F)表示回归点集和非游荡点集Of。让我们为所有人服务。最小的这样的东西取消了深度。在这篇注记中，我们证明了它的深度至多为3。此外，我们还证明了存在一个具有有限分支点的树枝，并且使得。
Letbe a dendrite with finite branch points andbe continuous. Denote byR(f) andthe set of recurrent points and the set of non-wandering points offrespectively. Letandfor all. The minimalsuch thatis called the depth off. In this note, we show thatand the depth offis at most 3. Furthermore, we show that there exist a dendritewith finite branch points andsuch that.