{
  "id": "math/0503572",
  "version": "v2",
  "published": "2005-03-24T22:45:49.000Z",
  "updated": "2005-11-16T17:07:48.000Z",
  "title": "A variant of the hypergraph removal lemma",
  "authors": [
    "Terence Tao"
  ],
  "comment": "25 pages, no figures, to appear, J. Combin. Thy A. This is the final version, incorporating the referee's comments",
  "categories": [
    "math.CO"
  ],
  "abstract": "Recent work of Gowers and Nagle, R\\\"odl, Schacht, and Skokan has established a hypergraph removal lemma, which in turn implies some results of Szemer\\'edi and Furstenberg-Katznelson concerning one-dimensional and multi-dimensional arithmetic progressions respectively. In this paper we shall give a self-contained proof of this hypergraph removal lemma. In fact we prove a slight strengthening of the result, which we will use in a subsequent paper to establish infinitely many constellations of a prescribed shape in the Gaussian primes.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-11-16T17:07:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C65"
    ],
    "keywords": [
      "hypergraph removal lemma",
      "subsequent paper",
      "multi-dimensional arithmetic progressions",
      "turn implies",
      "gaussian primes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3572T"
    }
  }
}