Removing coincidences of maps between manifolds of different dimensions

Details Removing coincidences of maps between manifolds of different dimensions Removing coincidences of maps between manifolds of different dimensions

2001-03-25

arxiv.org/abs/math/0103159v3

Topol. Methods Nonlinear Anal., 22 (2003) 1, 105-114.

Mathematics

Algebraic Topology

Final version, minor corrections throughout the paper, 7 pages, to appear in Topol. Meth. Nonlin. Anal

Scientific paper

We consider sufficient conditions of local removability of coincidences of
maps f,g:N->M, where M,N are manifolds with dimensions dimN>dimM. 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.

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