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

Published: 7 June 2004

Abstract

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 .