
Journal of Convex Analysis 23 (2016), No. 4, 12191246 Copyright Heldermann Verlag 2016 Right Triple Convexity Liping Yuan College of Mathematics and Information Science, Hebei Normal University, 050024 Shijiazhuang, P. R. China and: Hebei Key Laboratory of Computational Mathematics and Applications, 050024 Shijiazhuang, P. R. China lpyuan@mail.hebtu.edu.cn Tudor Zamfirescu Fachbereich Mathematik, Universität Dortmund, 44221 Dortmund, Germany and: Institute of Mathematics, Roumanian Academy of Sciences, P.O.B. 1764, Bucharest 014700, Roumania tudor.zamfirescu@mathematik.unidortmund.de A set M in R^{d} is rtconvex if every pair of its points is included in a 3point subset {x,y,z} of M such that the triangle with the corners x, y and z has a right angle at y. We characterize rtconvex sets, and for 2connected polygonally connected sets, for 3connected sets, for geometric graphs, and for finite sets. [ Fulltextpdf (1257 KB)] for subscribers only. 