Self-maps of S~2 Homotopic to a Smooth Map with a Single n-periodic Point

被引：0

作者：

Jerzy JEZIERSKI ^{[1
]}

机构：

[1] Department of Applied Informatics and Mathematics,Warsaw University of Life Sciences

来源：

Acta Mathematica Sinica,English Series | 2017年 / 08期

关键词：

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

D O I：

暂无

中图分类号：

O189 [拓扑（形势几何学）];

学科分类号：

070104 ;

摘要：

We show for which(d,n) ∈Z×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

共 49 条

[1] Self-maps of S2 Homotopic to a Smooth Map with a Single n-periodic Point
Jezierski, Jerzy
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2017, 33 (08) : 1073 - 1082
[2] Self-maps of S2 homotopic to a smooth map with a single n-periodic point
Jerzy Jezierski
[J]. Acta Mathematica Sinica, English Series, 2017, 33 : 1073 - 1082
[3] Least number of n-periodic points of self-maps of PSU(2) x PSU(2)
Jezierski, Jerzy
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2022, 24 (01)
[4] On Lefschetz periodic point free self-maps
Jaume Llibre
Víctor F. Sirvent
[J]. Journal of Fixed Point Theory and Applications, 2018, 20
[5] On Lefschetz periodic point free self-maps
Llibre, Jaume
Sirvent, Victor F.
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01)
[6] The least number, of n-periodic points of a self-map of a solvmanifold, can be realised by a smooth map
Jezierski, Jerzy
[J]. TOPOLOGY AND ITS APPLICATIONS, 2011, 158 (09) : 1113 - 1120
[7] Minimal number of periodic points for smooth self-maps of S3
Graff, Grzegorz
Jezierski, Jerzy
[J]. FUNDAMENTA MATHEMATICAE, 2009, 204 (02) : 127 - 144
[8] Periodic point free continuous self-maps on graphs and surfaces
Llibre, Jaume
[J]. TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (08) : 2228 - 2231
[9] Lefschetz periodic point free self-maps of compact manifolds
Graff, Grzegorz
Kaczkowska, Agnieszka
Nowak-Przygodzki, Piotr
Signerska, Justyna
[J]. TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (10-11) : 2728 - 2735
[10] THE LEAST NUMBER OF n-PERIODIC POINTS ON TORI CAN BE REALIZED BY A SMOOTH MAP
Jezierski, Jerzy
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2016, 47 (01) : 91 - 107

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