{
  "id": "1108.1280",
  "version": "v4",
  "published": "2011-08-05T09:08:54.000Z",
  "updated": "2013-04-04T11:26:07.000Z",
  "title": "Syndetic proximality and scrambled sets",
  "authors": [
    "T. K. Subrahmonian Moothathu",
    "Piotr Oprocha"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "This paper is a systematic study about the syndetically proximal relation and the possible existence of syndetically scrambled sets for the dynamics of continuous self-maps of compact metric spaces. Especially we consider various classes of transitive subshifts, interval maps, and topologically Anosov maps. We also present many constructions and examples.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-04-04T11:26:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05"
    ],
    "keywords": [
      "syndetic proximality",
      "compact metric spaces",
      "systematic study",
      "syndetically proximal relation",
      "interval maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.1280S"
    }
  }
}