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  • Research Article
  • Open Access

Coincidence theory for spaces which fiber over a nilmanifold

Fixed Point Theory and Applications20042004:986365

https://doi.org/10.1155/S1687182004308107

  • Received: 20 August 2003
  • Published:

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 .

Authors’ Affiliations

(1)
Department of Mathematics, Bates College, Lewiston, ME 04240, USA

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