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Coincidence theory for spaces which fiber over a nilmanifold
Fixed Point Theory and Applications volume 2004, Article number: 986365 (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
.
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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