Self-maps of S2 Homotopic to a Smooth Map with a Single n-periodic Point

被引：1

作者：

Jezierski, Jerzy ^{[1
]}

机构：

[1] Warsaw Univ Life Sci, Dept Appl Informat & Math, Nowoursynowska 159, PL-02757 Warsaw, Poland

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2017年 / 33卷 / 08期

关键词：

Fixed point; periodic point; Nielsen fixed point theory; Dold congruences; least number of periodic points; INDEXES;

D O I：

10.1007/s10114-017-6120-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show for which (d, n) is an element of Z x N there exists a smooth self-map f : S-2 -> S-2 so that deg(f) = d and Fix(f(n)) is a point.

引用

页码：1073 / 1082

页数：10

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