{
  "id": "1412.8722",
  "version": "v1",
  "published": "2014-12-30T18:41:27.000Z",
  "updated": "2014-12-30T18:41:27.000Z",
  "title": "On the number of connected components of complements to arrangements of subtori",
  "authors": [
    "I. Shnurnikov"
  ],
  "categories": [
    "math.AT",
    "math.CO"
  ],
  "abstract": "We consider the arrangements of subtori in a flat d - dimensional torus T. Let us consider an arrangement on n subtori of codimension one, let f be the number of connected components of the complement in T to the union of subtori. We found the set of all possible numbers f for given n and d and arbitrary arrangements of subtori.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-30T18:41:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C35"
    ],
    "keywords": [
      "connected components",
      "complement",
      "dimensional torus",
      "arbitrary arrangements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}