Radon stability

Noa Nitzan, Micha A. Perles

Research output: Contribution to journalArticlepeer-review


We say that a finite set of points S in a Euclidean space is Radon stable if for every primitive Radon partition within S, the corresponding Radon point is also in S. Stable sets in the plane can be described easily. Michael Kallay (1984) gave an inductive description of stable sets in ℝd for all d. We show that S is stable iff the triangulation of convS with vertex set S is unique.

Original languageAmerican English
Pages (from-to)483-490
Number of pages8
JournalIsrael Journal of Mathematics
Issue number1
StatePublished - 1 Aug 2013

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