{
  "id": "math/0601279",
  "version": "v1",
  "published": "2006-01-12T09:38:14.000Z",
  "updated": "2006-01-12T09:38:14.000Z",
  "title": "The homotopy type of the complement of a coordinate subspace arrangement",
  "authors": [
    "Jelena Grbic",
    "Stephen Theriault"
  ],
  "comment": "42 pages",
  "categories": [
    "math.AT",
    "math.AC",
    "math.CO"
  ],
  "abstract": "The homotopy type of the complement of a complex coordinate subspace arrangement is studied by fathoming out the connection between its topological and combinatorial structures. A family of arrangements for which the complement is homotopy equivalent to a wedge of spheres is described. One consequence is an application in commutative algebra: certain local rings are proved to be Golod, that is, all Massey products in their homology vanish.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-01-12T09:38:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13F55",
      "55P15"
    ],
    "keywords": [
      "homotopy type",
      "complement",
      "complex coordinate subspace arrangement",
      "combinatorial structures",
      "homotopy equivalent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1279G"
    }
  }
}