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On absolutely extremal points. (English) Zbl 0596.54036
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
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##### References:
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