{
  "id": "1909.13285",
  "version": "v1",
  "published": "2019-09-29T13:55:42.000Z",
  "updated": "2019-09-29T13:55:42.000Z",
  "title": "On the topological dynamics of automorphism groups; a model-theoretic perspective",
  "authors": [
    "Krzysztof Krupinski",
    "Anand Pillay"
  ],
  "categories": [
    "math.LO",
    "math.GN"
  ],
  "abstract": "We give a model-theoretic treatment of the fundamental results of Kechris-Pestov-Todor\\v{c}evi\\'{c} theory in the more general context of automorphism groups of not necessarily countable structures. One of the main points is a description of the universal ambit as a certain space of types in an expanded language. Using this, we recover various results of Kechris-Pestov-Todor\\v{c}evi\\'{c}, Moore, Ngyuen Van Th\\'{e}, in the context of automorphism groups of not necessarily countable structures, as well as Zucker.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-29T13:55:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C98",
      "54H20",
      "05D10"
    ],
    "keywords": [
      "automorphism groups",
      "topological dynamics",
      "model-theoretic perspective",
      "necessarily countable structures",
      "ngyuen van"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}