On Lefschetz periodic point free self-maps

被引：0

作者：

Jaume Llibre

Víctor F. Sirvent

机构：

[1] Universitat Autònoma de Barcelona,Departament de Matemàtiques

[2] Universidad Simón Bolívar,Departamento de Matemáticas

来源：

Journal of Fixed Point Theory and Applications | 2018年 / 20卷

关键词：

Periodic point; Lefschetz zeta function; Lefschetz numbers; wedge sum of spheres; product of spheres; 37C25; 37C30; 37E15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the periodic point free maps and Lefschetz periodic point free maps on connected retract of a finite simplicial complex using the Lefschetz numbers. We put special emphasis in the self-maps on the product of spheres and of the wedge sums of spheres.

引用

共 50 条

[1] On Lefschetz periodic point free self-maps
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[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01)
[2] Lefschetz periodic point free self-maps of compact manifolds
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[J]. TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (10-11) : 2728 - 2735
[3] On the Lefschetz periodic point free continuous self-maps on connected compact manifolds
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[9] Partially periodic point free self-maps on surfaces, graphs, wedge sums and products of spheres
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[10] Minimization of the number of periodic points for smooth self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers
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[J]. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2012, 10 (06): : 2160 - 2172

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