Metric Properties of Conflict Sets

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Birbrair, Lev
Siersma, Dirk
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Abstract
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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
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