{
  "id": "1306.6799",
  "version": "v1",
  "published": "2013-06-28T11:28:49.000Z",
  "updated": "2013-06-28T11:28:49.000Z",
  "title": "Structural stability of the inverse limit of endomorphisms",
  "authors": [
    "Pierre Berger",
    "Alejandro Kocsard"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that every endomorphism which satisfies Axiom A and the strong transversality conditions is $C^1$-inverse limit structurally stable. These conditions were conjectured to be necessary and sufficient. This result is applied to the study of unfolding of some homoclinic tangencies. This also achieves a characterization of $C^1$-inverse limit structurally stable covering maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-28T11:28:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "structural stability",
      "endomorphism",
      "inverse limit structurally stable",
      "strong transversality conditions",
      "satisfies axiom"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.6799B"
    }
  }
}