{
  "id": "0706.3905",
  "version": "v1",
  "published": "2007-06-26T20:19:59.000Z",
  "updated": "2007-06-26T20:19:59.000Z",
  "title": "The Implicit Function Theorem for continuous functions",
  "authors": [
    "Carlos Biasi",
    "Carlos Gutierrez",
    "Edivaldo L. dos Santos"
  ],
  "comment": "9 pages, no figures",
  "categories": [
    "math.AT",
    "math.CA"
  ],
  "abstract": "In the present paper we obtain a new homological version of the implicit function theorem and some versions of the Darboux theorem. Such results are proved for continuous maps on topological manifolds. As a consequence, some versions of these classic theorems are proved when we consider differenciable (not necessarily C^1) maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-26T20:19:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58C15",
      "47J07"
    ],
    "keywords": [
      "implicit function theorem",
      "continuous functions",
      "classic theorems",
      "darboux theorem",
      "continuous maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.3905B"
    }
  }
}