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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)
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References:
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