Minimal sets of periods for maps on the Klein bottle

被引：7

作者：

Kim, Ju Young ^{[1
]}

Kim, Sung Sook ^{[2
]}

Zhao, Xuezhi ^{[3
]}

机构：

[1] Catholic Univ Daegu, Dept Math, Taegu 712702, South Korea

[2] Paichai Univ, Dept Appl Math, Taejon 302735, South Korea

[3] Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2008年 / 45卷 / 03期

关键词：

periodic point; minimum set of periods; Nielsen number; Klein bottle;

D O I：

10.4134/JKMS.2008.45.3.883

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main results concern with the self maps on the Klein bottle. We obtain the Reidemeister numbers and the Nielsen numbers for all self maps on the Klein bottle. In terms of the Nielsen numbers of their iterates, we totally determine the minimal sets of periods for all homotopy classes of self maps on the Klein bottle.

引用

页码：883 / 902

页数：20

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