Metric Properties of Conflict Sets

Birbrair, Lev
Siersma, Dirk
Description
In this paper we show that the tangent cone of a conflict set in $R^n$ is a linear affine cone over a conflict set of smaller dimension and has dimension $n-1$. Moreover we give an example where the conflict sets is not normally embedded and not locally bi-Lipschitz equivalent to the corresponding tangent cone.
Comment: 8 pages
Keywords
Mathematics - Metric Geometry, Mathematics - Algebraic Geometry, 14P10