{
  "id": "1507.02727",
  "version": "v1",
  "published": "2015-07-09T22:18:30.000Z",
  "updated": "2015-07-09T22:18:30.000Z",
  "title": "On some problems of Euclidean Ramsey theory",
  "authors": [
    "Ilya D. Shkredov"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "In the paper we prove, in particular, that for any measurable coloring of the euclidian plane into two colours there is a monochromatic triangle with some restrictions on the sides. Also we consider similar problems in finite fields settings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-09T22:18:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05D10",
      "05B25",
      "11T24"
    ],
    "keywords": [
      "euclidean ramsey theory",
      "finite fields settings",
      "monochromatic triangle",
      "similar problems",
      "euclidian plane"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150702727S"
    }
  }
}