{
  "id": "math/0012150",
  "version": "v1",
  "published": "2000-12-18T03:49:33.000Z",
  "updated": "2000-12-18T03:49:33.000Z",
  "title": "Invitation to higher local fields, Interlude: Existence theorem for higher local class field theory",
  "authors": [
    "Kazuya Kato"
  ],
  "comment": "For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon3/m3-I-kato.abs.html",
  "journal": "Geom. Topol. Monogr. Volume 3(2000) 165-195",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "Viewing higher local fields as ring objects in the category of iterated pro-ind-objects, a definition of open subgroups in Milnor K-groups of the fields is given. The self-duality of the additive group of a higher local field is proved. By studying norm groups of cohomological objects and using cohomological approach to higher local class field theory the existence theorem is proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-12-18T03:49:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19F05",
      "19F99",
      "11-99"
    ],
    "keywords": [
      "higher local class field theory",
      "existence theorem",
      "invitation",
      "viewing higher local fields",
      "open subgroups"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}