Homotopy types and Nielsen numbers of periodic homotopy idempotents on tori

被引：0

作者：

Nishimura, Yasuzo ^{[1
]}

Nishimura, Naomi ^{[2
]}

机构：

[1] Univ Fukui, Fac Educ & Reg Studies, Fukui 9108507, Japan

[2] Suuken Shuppan, Nakagyo Ku, Kyoto 6040867, Japan

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2015年 / 17卷 / 02期

关键词：

Periodic homotopy idempotent; Nielsen number; torus;

D O I：

10.1007/s11784-013-0124-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we determine the Nielsen numbers of periodic homotopy idempotents on the n-dimensional torus T-n. In the special case n = 2, we classify the homotopy types of periodic homotopy idempotents on T-2 using an elementary number-theoretic discussion.

引用

页码：275 / 286

页数：12

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