Radon stability

Noa Nitzan; Micha A. Perles

doi:10.1007/s11856-013-0021-z

Radon stability

Noa Nitzan, Micha A. Perles

Research output: Contribution to journal › Article › peer-review

Abstract

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 ℝ^d for all d. We show that S is stable iff the triangulation of convS with vertex set S is unique.

Original language	English
Pages (from-to)	483-490
Number of pages	8
Journal	Israel Journal of Mathematics
Volume	196
Issue number	1
DOIs	https://doi.org/10.1007/s11856-013-0021-z
State	Published - 1 Aug 2013

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Radon stability

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