{
  "id": "1510.01838",
  "version": "v1",
  "published": "2015-10-07T06:39:05.000Z",
  "updated": "2015-10-07T06:39:05.000Z",
  "title": "A lower bound on Gowers' FIN_k theorem",
  "authors": [
    "Alexander P. Kreuzer"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Gowers' FIN$_k$ theorem, also called Gowers' pigeonhole principle or Gowers' theorem, is a Ramsey-type theorem. It first occurred in the study of Banach space theory and is a natural generalization of Hindman's theorem. In this short note, we will show that Gowers' FIN$_k$ theorem does not follow from ACA$_0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-07T06:39:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lower bound",
      "banach space theory",
      "short note",
      "pigeonhole principle",
      "hindmans theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151001838K"
    }
  }
}