{
  "id": "1011.3578",
  "version": "v3",
  "published": "2010-11-16T03:16:55.000Z",
  "updated": "2022-03-13T11:11:46.000Z",
  "title": "Beginning of stability theory for Polish Spaces",
  "authors": [
    "Saharon Shelah"
  ],
  "journal": "Israel J. of Mathematics 214(2), 507--537, (2016)",
  "doi": "10.1007/s11856-016-1342-5",
  "categories": [
    "math.LO"
  ],
  "abstract": "We consider stability theory for Polish spaces and more generally for definable structures (say, with elements of a set of reals). We clarify by proving some equivalent conditions for $\\aleph_0$-stability. We succeed to prove existence of indiscernibles under reasonable conditions; this gives strong evidence that such a theory exists.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-02-07T05:02:28.000Z",
      "abstract": "We consider stability theory for Polish spaces and more generally for definable structures. We succeed to prove existence of indiscernibles under reasonable conditions.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2022-03-13T11:11:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stability theory",
      "polish spaces",
      "definable structures"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.3578S"
    }
  }
}