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arXiv:0711.3974 [math.DS]AbstractReferencesReviewsResources

Remark to the paper Describing the set of words generated by interval exchange transformation, posted 15 November 2007

A. Ya. Belov, A. L. Chernyat'ev

Published 2007-11-26Version 1

Let us call subdivision {\it 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.

Comments: This is comment to our previous paper: Describing the set of words generated by interval exchange transformation. arXiv:0711.2374v1
Categories: math.DS, math.RA
Subjects: 37B10, 68R15
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