Open Access Research Article

Coincidence theory for spaces which fiber over a nilmanifold

Peter Wong

Author Affiliations

Department of Mathematics, Bates College, Lewiston, ME 04240, USA

Fixed Point Theory and Applications 2004, 2004:986365  doi:10.1155/S1687182004308107


The electronic version of this article is the complete one and can be found online at: http://www.fixedpointtheoryandapplications.com/content/2004/2/986365


Received:20 August 2003
Revisions received:9 February 2004
Published:7 June 2004

© 2004 Wong

Let be a finite connected complex and a fibration over a compact nilmanifold . For any finite complex and maps , we show that the Nielsen coincidence number vanishes if the Reidemeister coincidence number is infinite. If, in addition, is a compact manifold and is the constant map at a point , then is deformable to a map such that .

Research Article