English

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

Dynamical Systems 2015-01-21 v3

Abstract

We present a purely enveloping semigroup proof of a theorem of Shao and Ye which asserts that for an abelian group TT, a minimal flow (X,T)(X,T) and any integer d1d \ge 1, the regional proximal relation of order dd is an equivalence relation.

Cite

@article{arxiv.1402.3135,
  title  = {$RP^{[d]}$ is an equivalence relation: An enveloping semigroup proof},
  author = {Eli Glasner},
  journal= {arXiv preprint arXiv:1402.3135},
  year   = {2015}
}

Comments

just a few minor corrections

R2 v1 2026-06-22T03:07:37.628Z