I found an article of J.D. Currie and R.O. Shelton that answers the first question. "The set of k-power free words over Σ is empty or perfect".
Added: Note that Currie has a number of papers on power free words, and many of them are on the arxiv.
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I found an article of J.D. Currie and R.O. Shelton that answers the first question. "The set of k-power free words over Σ is empty or perfect". |
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