%0 Journal Article %T Relations among characteristic classes and existence of singular maps %A Boldizsar Kalmar %A Tamas Terpai %J Mathematics %D 2010 %I arXiv %R 10.1090/S0002-9947-2012-05544-9 %X 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. %U http://arxiv.org/abs/1005.1297v1