{
  "id": "1309.1430",
  "version": "v1",
  "published": "2013-09-05T18:42:41.000Z",
  "updated": "2013-09-05T18:42:41.000Z",
  "title": "Amenability and Ramsey theory in the metric setting",
  "authors": [
    "Adriane Kaïchouh"
  ],
  "categories": [
    "math.LO",
    "math.DS"
  ],
  "abstract": "Moore characterized the amenability of automorphism groups of countable ultrahomogeneous structures by a Ramsey-type property. We extend this result to automorphism groups of metric Fra\\\"iss\\'e structures, which encompass all Polish groups. As an application, we prove that amenability is a G_delta condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-05T18:42:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ramsey theory",
      "amenability",
      "metric setting",
      "automorphism groups",
      "ramsey-type property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.1430K"
    }
  }
}