{
  "id": "1503.01809",
  "version": "v1",
  "published": "2015-03-05T22:46:12.000Z",
  "updated": "2015-03-05T22:46:12.000Z",
  "title": "A note on a global invertibility of mappings on $R^{n}$",
  "authors": [
    "Marek Galewski"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We provide sufficient conditions for a mapping $f:R^{n}\\rightarrow R^{n}$ to be a global diffeomorphism in case it is strictly (Hadamard) differentiable. We use classical local invertibility conditions together with the non-smooth critical point theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-05T22:46:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R50",
      "58E05"
    ],
    "keywords": [
      "global invertibility",
      "non-smooth critical point theory",
      "classical local invertibility conditions",
      "global diffeomorphism",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}