{
  "id": "0712.4340",
  "version": "v1",
  "published": "2007-12-28T11:47:33.000Z",
  "updated": "2007-12-28T11:47:33.000Z",
  "title": "Recent Progress in Special Colombeau Algebras: Geometry, Topology, and Algebra",
  "authors": [
    "Michael Kunzinger"
  ],
  "comment": "12 pages, contribution for conference \"Generalized Functions 2007\", Banach Center, Bedlewo, Poland",
  "categories": [
    "math.FA",
    "math.AC"
  ],
  "abstract": "Over the past few years there has been considerable progress in the structural understanding of special Colombeau algebras. We present some of the main trends in this development: non-smooth differential geometry, locally convex theory of modules over the ring of generalized numbers, and algebraic aspects of Colombeau theory. Some open problems are given and directions of further research are outlined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-28T11:47:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46F30",
      "46T30",
      "46A20",
      "16D25",
      "53B20"
    ],
    "keywords": [
      "special colombeau algebras",
      "non-smooth differential geometry",
      "main trends",
      "open problems",
      "locally convex theory"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.4340K"
    }
  }
}