{
  "id": "1501.00893",
  "version": "v1",
  "published": "2014-12-31T17:52:54.000Z",
  "updated": "2014-12-31T17:52:54.000Z",
  "title": "What is the number of decompositions of torus into given number of regions by unions of geodesics?",
  "authors": [
    "I. Shnurnikov"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove some preliminary results concerning two questions of O.Karpenkov: (1) What is the number of decompositions of torus of dimension 2 into given number f of regions by unions of n geodesics? (2) On the plane there are n circles not in general position, every pair of cicles has at least one common point. What is the set of all possible numbers of regions?",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-31T17:52:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C35"
    ],
    "keywords": [
      "decompositions",
      "general position",
      "common point",
      "preliminary results concerning"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}