{
  "id": "math/0011101",
  "version": "v3",
  "published": "2000-11-15T18:08:04.000Z",
  "updated": "2001-02-14T18:04:19.000Z",
  "title": "Morse theory, Milnor fibers and minimality of hyperplane arrangements",
  "authors": [
    "Richard Randell"
  ],
  "comment": "8 pages, correction, added example, title change from \"Morse theory, Milnor fibers and hyperplane arrangements",
  "categories": [
    "math.AT",
    "math.AG"
  ],
  "abstract": "Through the study of Morse theory on the associated Milnor fiber, we show that complex hyperplane arrangement complements are minimal. That is, the complement of a complex hyperplane arrangement has the homotopy type of a CW complex in which the number of p-cells equals the p-th betti number.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2001-02-14T18:04:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C35",
      "55Q52",
      "14M12"
    ],
    "keywords": [
      "morse theory",
      "complex hyperplane arrangement complements",
      "minimality",
      "p-th betti number",
      "homotopy type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....11101R"
    }
  }
}