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I am looking how to prove the following fact:

If $ X \subseteq A^\mathbb{Z}$ is a minimal subshift, then $X$ is conjugate to a minimal subshift $Y\subseteq B^\mathbb{Z}$ such that for any $y\in Y$, $y(i)\neq y(j)$ if $|i-j|\le 4 , i\neq j$.

(I have encountered this in a paper in which the author asserts this without a proof.)

Mustafa Gokhan Benli
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  • It might be good to cite the paper in question. (It seems the alphabet $A$ is extended to $B$ by adding admissible words to have no repetitions.) – Alp Uzman Dec 07 '21 at 16:59
  • The question was answered in Mathoverflow here: https://mathoverflow.net/questions/413250/subshifts-with-special-property/413258#413258 – Mustafa Gokhan Benli Jan 17 '22 at 06:58

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