Resumen de Metric properties of conflict sets

Lev Birbrair, Dirk Siersma

• In this paper In this paper we show that the tangent cone of a conflict set in Euclidean space is a linear affine cone over a conflict set of a smaller dimension. We prove that the conflict sets in the Euclidean plane have no cuspidal singularities. Moreover we give an example where the conflict sets is not normally embedded and not locally bi-Lipschitz equivalent to the corresponding tangent cone.