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
Coincidence theory for spaces which fiber over a nilmanifold
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
