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arxiv: 1402.3135 · v3 · pith:FY2UEP5Wnew · submitted 2014-02-13 · 🧮 math.DS

RP^([d]) is an equivalence relation: An enveloping semigroup proof

Eli Glasner This is my paper
classification 🧮 math.DS
keywords relationenvelopingequivalenceproofsemigroupabelianassertsflow
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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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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Cube structures of the universal minimal system, nilsystems and applications

    math.DS 2025-02 unverdicted novelty 6.0

    Develops cube structures on the universal minimal system to study nilsystems, giving alternative proofs for saturation properties and a new algebraic proof that RP^[d] is an equivalence relation even for d=1.