{
  "id": "0711.3974",
  "version": "v1",
  "published": "2007-11-26T10:09:55.000Z",
  "updated": "2007-11-26T10:09:55.000Z",
  "title": "Remark to the paper Describing the set of words generated by interval exchange transformation, posted 15 November 2007",
  "authors": [
    "A. Ya. Belov",
    "A. L. Chernyat'ev"
  ],
  "comment": "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"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-26T10:09:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10",
      "68R15"
    ],
    "keywords": [
      "interval exchange transformation",
      "paper describing",
      "subdivision",
      "discontinuity point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.3974B"
    }
  }
}