# Relations among characteristic classes and existence of singular maps

@article{Kalmr2010RelationsAC,
title={Relations among characteristic classes and existence of singular maps},
author={Boldizs{\'a}r Kalm{\'a}r and Tam{\'a}s Terpai},
journal={arXiv: Geometric Topology},
year={2010}
}
• Published 7 May 2010
• Mathematics
• arXiv: Geometric Topology
We obtain relations among the characteristic classes of a manifold M admitting corank one maps. Our relations yield strong restrictions on the cobordism class of M and also nonexistence results for singular maps of the projective spaces. We obtain our results through blowing up a manifold along the singular set of a smooth map and perturbing the arising non-generic corank one map.
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