Lefschetz periodic point free self-maps of compact manifolds

被引：6

作者：

Graff, Grzegorz ^{[1
]}

Kaczkowska, Agnieszka ^{[1
]}

Nowak-Przygodzki, Piotr ^{[1
]}

Signerska, Justyna ^{[1
,2
]}

机构：

[1] Gdansk Univ Technol, Fac Appl Phys & Math, PL-80233 Gdansk, Poland

[2] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland

来源：

TOPOLOGY AND ITS APPLICATIONS | 2012年 / 159卷 / 10-11期

关键词：

Lefschetz number; Periodic points; Rational exterior space; Cohomology ring; THEOREM;

D O I：

10.1016/j.topol.2012.03.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f be a self-map of a compact connected manifold M. We characterize Lefschetz periodic point free continuous self-maps of M for several classes of manifolds and generalize the results of Guirao and Llibre [J.L.G. Guirao, J. Llibre, On the Lefschetz periodic point free continuous self-maps on connected compact manifolds, Topology Appl. 158 (16) (2011) 2165-2169]. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：2728 / 2735

页数：8

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