Axioms for a local Reidemeister trace in fixed point and coincidence theory on differentiable manifolds

被引：6

作者：

Staecker, P. Christopher ^{[1
]}

机构：

[1] Messiah Coll, Grantham, PA 17027 USA

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2009年 / 5卷 / 02期

关键词：

Reidemeister trace; fixed point; coincidence; LEFSCHETZ NUMBER; NIELSEN NUMBER;

D O I：

10.1007/s11784-008-0055-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give axioms which characterize the local Reidemeister trace for orientable differentiable manifolds. The local Reidemeister trace in fixed point theory is already known, and we provide both uniqueness and existence results for the local Reidemeister trace in coincidence theory.

引用

页码：237 / 247

页数：11

共 27 条

[1] Axioms for a local Reidemeister trace in fixed point and coincidence theory on differentiable manifolds
P. Christopher Staecker
[J]. Journal of Fixed Point Theory and Applications, 2009, 5 : 237 - 247
[2] Some aspects of Reidemeister fixed point theory, equivariant fixed point theory and coincidence theory
Borsari, L. D.
Cardona, F.
Goncalves, D. L.
[J]. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2022, 16 (01): : 508 - 538
[3] Some aspects of Reidemeister fixed point theory, equivariant fixed point theory and coincidence theory
L. D. Borsari
F. Cardona
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[J]. São Paulo Journal of Mathematical Sciences, 2022, 16 : 508 - 538
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[J]. TOPOLOGY AND ITS APPLICATIONS, 2015, 181 : 134 - 149
[10] Applications of proximal calculus to fixed point theory on Riemannian manifolds
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[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (01) : 154 - 174

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