Relations among characteristic classes and existence of singular maps

  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},
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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