Removing coincidences of maps between manifolds of different dimensions

Peter Saveliev

DOI: http://dx.doi.org/10.12775/TMNA.2003.030

Abstract


We consider sufficient conditions of local removability of coincidences of
maps $f,g\colon N\rightarrow M$, where $M$, $N$ are manifolds with dimensions $\dim
N\geq\dim M$. The coincidence index is the only obstruction to the
removability for maps with fibers either acyclic or homeomorphic to spheres of
certain dimensions. We also address the normalization property of the index
and coincidence-producing maps.

Keywords


Lefschetz number; coincidence index; removability

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