Metric Properties of Conflict Sets

Details Metric Properties of Conflict Sets Metric Properties of Conflict Sets

2007-04-30

arxiv.org/abs/0704.3992v1

Mathematics

Metric Geometry

8 pages

Scientific paper

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.

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