{
  "id": "2408.08183",
  "version": "v1",
  "published": "2024-08-15T14:36:37.000Z",
  "updated": "2024-08-15T14:36:37.000Z",
  "title": "A generalization of the Brouwer plane translation theorem",
  "authors": [
    "Jim Wiseman"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that if an orientation-preserving homeomorphism of the plane has a topologically chain recurrent point, then it has a fixed point, generalizing the Brouwer plane translation theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-15T14:36:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E30",
      "37B20"
    ],
    "keywords": [
      "brouwer plane translation theorem",
      "generalization",
      "topologically chain recurrent point",
      "fixed point",
      "orientation-preserving homeomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}