{
  "id": "math/0012137",
  "version": "v1",
  "published": "2000-12-18T03:47:38.000Z",
  "updated": "2000-12-18T03:47:38.000Z",
  "title": "Invitation to higher local fields, Part I, section 6: Topological Milnor K-groups of higher local fields",
  "authors": [
    "Ivan Fesenko"
  ],
  "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-6.abs.html",
  "journal": "Geom. Topol. Monogr. Volume 3(2000) 61-74",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "Certain topologies on Milnor K-groups of higher local fields K are studied. These are related to the topology on the multiplicative group and important for explicit higher local class field theory. The structure of the quotient of Milnor K-groups modulo the intersection of all neighbourhoods of zero is described.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-12-18T03:47:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54E99",
      "19D99",
      "46A45",
      "19F15"
    ],
    "keywords": [
      "higher local fields",
      "topological milnor k-groups",
      "explicit higher local class field",
      "higher local class field theory",
      "invitation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}