Glasner, Shmuel; Maon, D. On absolutely extremal points. (English) Zbl 0596.54036 Compos. Math. 59, 51-56 (1986). Summary: Given three doubly asymptotic points x, y, z in a minimal flow X, we construct an affine embedding \(\phi\) : \(X\to Q\) such that \(\phi (x)=(\phi (y)+\phi (z))\). Thus x is not absolutely extremal. We produce an example of a metric minimal flow X with the property that for every \(x\in X\) a triple x, y, z as above exists, thereby showing that no point of X is absolutely extremal. MSC: 54H20 Topological dynamics (MSC2010) Keywords:extreme points; affine embedding; metric minimal flow PDF BibTeX XML Cite \textit{S. Glasner} and \textit{D. Maon}, Compos. Math. 59, 51--56 (1986; Zbl 0596.54036) Full Text: Numdam EuDML References: [1] S. Glasner : Absolutely extremal points in minimal flows . Compositio Math. 55 (1985) 263-268. · Zbl 0591.58024 · numdam:CM_1985__55_3_263_0 · eudml:89719 [2] S. Glasner and D. Maon : An inverted tower of almost 1-1 extensions . Journal d’Analyse Math. Vol 44 (1984/85) 67-75. · Zbl 0567.54026 · doi:10.1007/BF02790190 [3] D. Maon : On the relation N, the obstruction to uniform rigidity . Tel Aviv University. · Zbl 0564.68056 [4] M. Denker , C. Grillenberger and K. Sigmund : Ergodic theory on compact spaces , Lecture Notes in Mathematics 527. Springer Verlag (1976). · Zbl 0328.28008 · doi:10.1007/BFb0082364 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.