{
  "id": "math-ph/0211071",
  "version": "v1",
  "published": "2002-11-29T13:04:56.000Z",
  "updated": "2002-11-29T13:04:56.000Z",
  "title": "Pattern equivariant functions and cohomology",
  "authors": [
    "Johannes Kellendonk"
  ],
  "comment": "8 pages including 2 figures",
  "doi": "10.1088/0305-4470/36/21/306",
  "categories": [
    "math-ph",
    "math.KT",
    "math.MP"
  ],
  "abstract": "The cohomology of a tiling or a point pattern has originally been defined via the construction of the hull or the groupoid associated with the tiling or the pattern. Here we present a construction which is more direct and therefore easier accessible. It is based on generalizing the notion of equivariance from lattices to point patterns of finite local complexity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-29T13:04:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C23"
    ],
    "keywords": [
      "pattern equivariant functions",
      "cohomology",
      "finite local complexity",
      "construction",
      "point pattern"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2003,
      "month": "May",
      "volume": 36,
      "number": 21,
      "pages": 5765
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003JPhA...36.5765K"
    }
  }
}