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Coincidence theory for spaces which fiber over a nilmanifold

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 .

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Correspondence to Peter Wong.

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Wong, P. Coincidence theory for spaces which fiber over a nilmanifold. Fixed Point Theory Appl 2004, 986365 (2004). https://doi.org/10.1155/S1687182004308107

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  • DOI: https://doi.org/10.1155/S1687182004308107