{
  "id": "1611.05948",
  "version": "v1",
  "published": "2016-11-18T01:54:14.000Z",
  "updated": "2016-11-18T01:54:14.000Z",
  "title": "Interval projections of self-similar sets",
  "authors": [
    "Ábel Farkas"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We show if $K$ is a self-similar $1$-set that either satisfies the strong separation or is defined via homotheties then there are at most finitely many lines through the origin such that the projection of $K$ onto them is an interval.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-18T01:54:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A80",
      "28A78",
      "37C45"
    ],
    "keywords": [
      "self-similar sets",
      "interval projections",
      "strong separation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}