{
  "id": "1106.3442",
  "version": "v1",
  "published": "2011-06-17T11:04:31.000Z",
  "updated": "2011-06-17T11:04:31.000Z",
  "title": "Connected components of definable groups, and o-minimality II",
  "authors": [
    "Annalisa Conversano",
    "Anand Pillay"
  ],
  "comment": "22 pages",
  "categories": [
    "math.LO",
    "math.GR"
  ],
  "abstract": "We study the connected components G^00, G^000 and their quotients for a group G definable in a saturated o-minimal expansion of a real closed field. We show that G^00/G^000 is naturally the quotient of a connected compact commutative Lie group by a dense finitely generated subgroup. We also highlight the role of universal covers of semisimple Lie groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-17T11:04:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22F99"
    ],
    "keywords": [
      "connected components",
      "definable groups",
      "o-minimality",
      "semisimple lie groups",
      "connected compact commutative lie group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.3442C"
    }
  }
}