THE CENTER AND THE DEPTH OF THE CENTER OF A TREE MAP

被引：43

作者：

YE, XD ^{[1
]}

机构：

[1] USTC,DEPT MATH,HEFEI 230026,PEOPLES R CHINA

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1993年 / 48卷 / 02期

关键词：

D O I：

10.1017/S0004972700015768

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a tree and f be a continuous map from X into itself. Denote by P(f) and R(f) the set of periodic points and the set of recurrent points of f respectively. We show in this note that the centre is P(f)BAR and the depth of the centre is at most 3. Furthermore we have P(f)BAR = R(f)BAR.

引用

页码：347 / 350

页数：4