{
  "id": "math/0102023",
  "version": "v4",
  "published": "2001-02-03T05:54:49.000Z",
  "updated": "2001-06-02T09:43:08.000Z",
  "title": "Discrete versions of the Beckman-Quarles theorem from the definability results of Raphael M. Robinson",
  "authors": [
    "Apoloniusz Tyszka"
  ],
  "comment": "enlarged version, LaTeX2e",
  "journal": "Algebra, Geometry & their Applications, Seminar Proceedings 1 (2001), pp.88-90",
  "categories": [
    "math.MG"
  ],
  "abstract": "We derive author's discrete forms of the Beckman-Quarles theorem from the definability results of Raphael M. Robinson.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2001-06-02T09:43:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51M05"
    ],
    "keywords": [
      "beckman-quarles theorem",
      "definability results",
      "discrete versions",
      "derive authors discrete forms"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......2023T"
    }
  }
}