Tangent metric spaces to starlike sets on the plane

@article{Dovgoshey2012TangentMS,
  title={Tangent metric spaces to starlike sets on the plane},
  author={Oleksiy Dovgoshey and F. G. Abdullayev and Mehmet Kucukaslan},
  journal={arXiv: Metric Geometry},
  year={2012}
}
Let A ⊆ C be a starlike set with a center a. We prove that every tangent space to A at the point a is isometric to the smallest closed cone, with the vertex a, which includes A. A partial converse to this result is obtained. The tangent space to convex sets is also discussed. 

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