{
  "id": "1110.5435",
  "version": "v2",
  "published": "2011-10-25T08:10:04.000Z",
  "updated": "2012-01-10T02:05:31.000Z",
  "title": "Dynamical characterization of C-sets and its application",
  "authors": [
    "Jian Li"
  ],
  "comment": "30 pages, mirror changes, to appear in Fund. Math",
  "journal": "Fund. Math. 216 (2012), 259-286",
  "doi": "10.4064/fm216-3-4",
  "categories": [
    "math.DS",
    "math.CO"
  ],
  "abstract": "In this paper, we set up a general correspondence between the algebra properties of $\\bN$ and the sets defined by dynamical properties. In particular, we obtain a dynamical characterization of C-sets, where C-sets are the sets satisfying the strong Central Sets Theorem. As an application, we show that Rado systems are solvable in C-sets.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-01-10T02:05:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B20",
      "37B05",
      "05D10"
    ],
    "keywords": [
      "dynamical characterization",
      "application",
      "strong central sets theorem",
      "algebra properties",
      "general correspondence"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.5435L"
    }
  }
}