{
  "id": "1906.11762",
  "version": "v1",
  "published": "2019-06-27T16:07:54.000Z",
  "updated": "2019-06-27T16:07:54.000Z",
  "title": "$F_σ$ Games and Reflection in $L(\\mathbb{R})$",
  "authors": [
    "J. P. Aguilera"
  ],
  "comment": "20 pages. This version: February 2019",
  "categories": [
    "math.LO"
  ],
  "abstract": "It is shown that determinacy of $F_\\sigma$ games of length $\\omega^2$ is equivalent to the existence of a transitive model of KP + AD which contains the reals and reflects $\\Pi_1$ facts about the next admissible set.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-27T16:07:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reflection",
      "determinacy",
      "equivalent",
      "transitive model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}