{
  "id": "1203.0851",
  "version": "v1",
  "published": "2012-03-05T10:21:33.000Z",
  "updated": "2012-03-05T10:21:33.000Z",
  "title": "A class of continua that are not attractors of any IFS",
  "authors": [
    "Marcin Kulczycki",
    "Magdalena Nowak"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "This paper presents a sufficient condition for a continuum in $R^n$ to be embeddable in $R^n$ in such a way that its image is not an attractor of any iterated function system. An example of a continuum in $R^2$ that is not an attractor of any weakly contracting iterated function system is also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-05T10:21:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sufficient condition",
      "weakly contracting iterated function system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.0851K"
    }
  }
}