{
  "id": "2211.08556",
  "version": "v1",
  "published": "2022-11-15T22:50:48.000Z",
  "updated": "2022-11-15T22:50:48.000Z",
  "title": "Conjugacy of free mappings embedded in a flow",
  "authors": [
    "Sushil Bhunia",
    "Gangotryi Sorcar"
  ],
  "comment": "18 pages, 5 figures",
  "categories": [
    "math.DS",
    "math.GR"
  ],
  "abstract": "In this paper we study free mappings of the plane, that is orientation preserving fixed point free homeomorphisms of $\\mathbb{R}^2$. We provide a necessary and sufficient condition under which two free mappings of the plane that are embedded in flows are conjugate to one another using Haefliger-Reeb theory of plane foliations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-15T22:50:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E45",
      "37E30"
    ],
    "keywords": [
      "study free mappings",
      "preserving fixed point free homeomorphisms",
      "orientation preserving fixed point free",
      "sufficient condition",
      "plane foliations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}