Open Access

Coincidence theory for spaces which fiber over a nilmanifold

Fixed Point Theory and Applications20042004:986365

DOI: 10.1155/S1687182004308107

Received: 20 August 2003

Published: 7 June 2004


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 .

Authors’ Affiliations

Department of Mathematics, Bates College


© Wong 2004