naa a22 4500 510783090 CHVBK 20180411083253.0 cr unu---uuuuu 180411e20130801xx s 000 0 eng 10.1007/s11856-013-0021-z doi (NATIONALLICENCE)springer-10.1007/s11856-013-0021-z Radon stability [Elektronische Daten] [Noa Nitzan, Micha Perles] 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. Hebrew University Magnes Press, 2013 Nitzan Noa Institute of Mathematics and Center for the Study of Rationality The Hebrew University of Jerusalem, 91904, Givat Ram, Jerusalem, Israel aut Perles Micha Institute of Mathematics and Center for the Study of Rationality The Hebrew University of Jerusalem, 91904, Givat Ram, Jerusalem, Israel aut Israel Journal of Mathematics Springer US; http://www.springer-ny.com 196/1(2013-08-01), 483-490 0021-2172 196:1<483 2013 196 11856 https://doi.org/10.1007/s11856-013-0021-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-013-0021-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Nitzan Noa Institute of Mathematics and Center for the Study of Rationality The Hebrew University of Jerusalem, 91904, Givat Ram, Jerusalem, Israel aut NATIONALLICENCE 700 1- Perles Micha Institute of Mathematics and Center for the Study of Rationality The Hebrew University of Jerusalem, 91904, Givat Ram, Jerusalem, Israel aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 196/1(2013-08-01), 483-490 0021-2172 196:1<483 2013 196 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer