Removing coincidences of maps between manifolds of different dimensions
Algebraic Topology
2007-05-23 v3 Geometric Topology
Abstract
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.
Keywords
Cite
@article{arxiv.math/0103159,
title = {Removing coincidences of maps between manifolds of different dimensions},
author = {Peter Saveliev},
journal= {arXiv preprint arXiv:math/0103159},
year = {2007}
}
Comments
Final version, minor corrections throughout the paper, 7 pages, to appear in Topol. Meth. Nonlin. Anal