一些连续统的孤立链回归点(英文)  

Isolated Chain Recurrent Points of Some Continua

作　　者：周丽珍[1] 林寿 

机构地区：[1]苏州大学数学系 [2]福州师范大学数学系

出　　处：《数学进展》2001年第5期459-463,共5页Advances in Mathematics（China）

基　　金：The project supported by NSF of Fujian Province in China (No.A97025) and NSFC (No.19971048).

摘　　要：对树或图上的连续自映射，本文证明了孤立链回归点是最终周期点，如孤立链回归点不在临界点的轨道中且它的轨道中也不含有临界点，则它还是周期点．我们还证明了上述性质可以扩张到一类特殊的λ－ｄｅｎｄｒｏｉｄ上．For a continuous map of tree or graph to itself, we show the properties that every isolated chain recurrent point is an eventually periodic point, and an isolated chain recurrent point which is not in the orbit of a critical point and has no critical point in its orbit is a periodic point. Furthermore, the property can also be extended to some specialλ-dendroids.

关 键 词：连续统 链回归点 最终周期点 λ-dendroid 连续自映射 

分 类 号：O174.1[理学—数学]