{
  "id": "1812.05146",
  "version": "v1",
  "published": "2018-12-12T20:20:56.000Z",
  "updated": "2018-12-12T20:20:56.000Z",
  "title": "Uniform Continuity in Definable Groups",
  "authors": [
    "Alf Onshuus",
    "Luis Carlos Suárez"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "In this paper we study analogues of amenability for topological groups in the context of definable structures. We prove fixed point theorems for such groups. More importantly, we propose definitions for definable actions and continuous functions from definable groups to topological spaces which might prove useful in other contexts.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-12T20:20:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "definable groups",
      "uniform continuity",
      "study analogues",
      "fixed point theorems",
      "amenability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}