{
  "id": "1411.5134",
  "version": "v1",
  "published": "2014-11-19T07:46:07.000Z",
  "updated": "2014-11-19T07:46:07.000Z",
  "title": "Gowers' Ramsey Theorem with multiple operations and dynamics of the homeomorphism group of the Lelek fan",
  "authors": [
    "Dana Bartošová",
    "Aleksandra Kwiatkowska"
  ],
  "categories": [
    "math.LO",
    "math.CO",
    "math.DS"
  ],
  "abstract": "We study dynamics of the homeomorphism group of a compact, connected, metric space called the Lelek fan. We show that a group of homeomorphisms of the Lelek fan that preserve a certain order is extremely amenable. In order to do that, we generalize a finite version of the Gowers' Ramsey theorem to multiple tetris-like operations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-19T07:46:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05D10",
      "37B05",
      "54F15",
      "03C98"
    ],
    "keywords": [
      "lelek fan",
      "ramsey theorem",
      "homeomorphism group",
      "multiple operations",
      "metric space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.5134B"
    }
  }
}