{
  "id": "1208.1536",
  "version": "v2",
  "published": "2012-08-07T22:17:38.000Z",
  "updated": "2012-08-15T21:52:13.000Z",
  "title": "Toral or non locally connected minimal sets for suspensions of $R$-closed surface homeomorphisms",
  "authors": [
    "Tomoo Yokoyama"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $M$ be an orientable connected closed surface and $f$ be an $R$-closed homeomorphism on $M$ which is isotopic to identity. Then the suspension of $f$ satisfies one of the following condition: 1) the closure of each element of it is minimal and toral. 2) there is a minimal set which is not locally connected. Moreover, we show that any positive iteration of an $R$-closed homeomorphism on a compact metrizable space is $R$-closed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-08-15T21:52:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non locally connected minimal sets",
      "closed surface homeomorphisms",
      "suspension",
      "closed homeomorphism",
      "compact metrizable space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.1536Y"
    }
  }
}