%0 Journal Article %T Euler characteristic and Lipschitz-Killing curvatures of closed semi-algebraic sets %A Nicolas Dutertre %J Mathematics %D 2010 %I arXiv %X We prove a formula that relates the Euler-Poincar\'e characteristic of a closed semi-algebraic set to its Lipschitz-Killing curvatures %U http://arxiv.org/abs/1002.0767v1