Remark to the paper Describing the set of words generated by interval exchange transformation, posted 15 November 2007
Belov, A. Ya. · Chernyat'ev, A. L.
Original · EN
Let us call subdivision good, if 1) set corresponding to each symbol is convex (i.e. interval or (semi)closed interval). 2) If points A and B corresponds to the some color and interval (A,B) has discontinuity point, then f(A) and f(B) has different color. Every subdivision can be further divided into good subdivision, old superword can be obtained from new one by gluing letters. Hence in the section ``Equivalence of the set of uniformly recurrent words generated by piecewise-continuous transformation to the set of words generated by interval exchange transformation'' one can consider only good subdivision.
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