Publication Title

Topological Methods in Nonlinear Analysis

Document Type

Article

Department or Program

Mathematics

Publication Date

1-1-2020

Keywords

Nielsen coincidence number, Nilmanifolds, Topological coincidence theory

Abstract

Let f1, …, fk: M → N be maps between closed manifolds, N(f1, …, fk ) and R(f1, …, fk ) be the Nielsen and the Reideimeister coincidence numbers, respectively. In this note, we relate R(f1, …, fk ) with R(f1, f2 ), …, R(f1, fk ). When N is a torus or a nilmanifold, we compute R(f1, …, fk ) which, in these cases, is equal to N(f1, …, fk ).

Copyright Note

This is the author's version of the work. This publication appears in Bates College's institutional repository by permission of the copyright owner for personal use, not for redistribution.

Required Publisher's Statement

The final publication is available at the TMNA webpage via http://dx.doi.org/10.12775/TMNA.2020.002.

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