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$RP^{[d]}$ is an equivalence relation: An enveloping semigroup proof

Published 13 Feb 2014 in math.DS | (1402.3135v3)

Abstract: We present a purely enveloping semigroup proof of a theorem of Shao and Ye which asserts that for an abelian group $T$, a minimal flow $(X,T)$ and any integer $d \ge 1$, the regional proximal relation of order $d$ is an equivalence relation.

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