{
  "id": "1409.1079",
  "version": "v1",
  "published": "2014-09-03T13:31:51.000Z",
  "updated": "2014-09-03T13:31:51.000Z",
  "title": "Line, spiral, dense",
  "authors": [
    "Neil Dobbs"
  ],
  "comment": "9 p, 3 figures",
  "categories": [
    "math.CA"
  ],
  "abstract": "Exponential of exponential of almost every line in the complex plane is dense in the plane. On the other hand, for lines through any point, for a set of angles of Hausdorff dimension one, exponential of exponential of a line with angle from that set is not dense in the plane.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-03T13:31:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exponential",
      "complex plane",
      "hausdorff dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.1079D"
    }
  }
}