{
  "id": "1812.08846",
  "version": "v1",
  "published": "2018-12-20T21:17:34.000Z",
  "updated": "2018-12-20T21:17:34.000Z",
  "title": "A complete classification of hereditarily equivalent plane continua",
  "authors": [
    "L. C. Hoehn",
    "L. G. Oversteegen"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "A continuum is hereditarily equivalent if it is homeomorphic to each of its non-degenerate sub-continua. We show in this paper that the arc and the pseudo-arc are the only non-degenerate hereditarily equivalent plane continua.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-20T21:17:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N05",
      "54F15",
      "54F65"
    ],
    "keywords": [
      "complete classification",
      "non-degenerate hereditarily equivalent plane continua",
      "non-degenerate sub-continua",
      "homeomorphic",
      "pseudo-arc"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}