{
  "id": "0801.4303",
  "version": "v1",
  "published": "2008-01-28T15:06:07.000Z",
  "updated": "2008-01-28T15:06:07.000Z",
  "title": "Continuous first order logic and local stability",
  "authors": [
    "Itaï Ben Yaacov",
    "Alexander Usvyatsov"
  ],
  "journal": "Transactions of the American Mathematical Society 362, 10 (2010) 5213-5259",
  "doi": "10.1090/S0002-9947-10-04837-3",
  "categories": [
    "math.LO"
  ],
  "abstract": "We develop continuous first order logic, a variant of the logic described in \\cite{Chang-Keisler:ContinuousModelTheory}. We show that this logic has the same power of expression as the framework of open Hausdorff cats, and as such extends Henson's logic for Banach space structures. We conclude with the development of local stability, for which this logic is particularly well-suited.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-28T15:06:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuous first order logic",
      "local stability",
      "banach space structures",
      "extends hensons logic",
      "open hausdorff cats"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Trans. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.4303B"
    }
  }
}