{
  "id": "math/0605558",
  "version": "v2",
  "published": "2006-05-20T04:37:18.000Z",
  "updated": "2007-04-07T05:19:54.000Z",
  "title": "Consistent solution of Markov's problem about algebraic sets",
  "authors": [
    "Ol'ga V. Sipacheva"
  ],
  "comment": "Version 2: The proof is made much more detailed. Several misprints are corrected",
  "categories": [
    "math.GR",
    "math.GN"
  ],
  "abstract": "It is proved that the continuum hypothesis implies the existence of a group M containing a nonalgebraic unconditionally closed set, i.e., a set which is closed in any Hausdorff group topology on M but is not an intersection of finite unions of solution sets of equations in M.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-04-07T05:19:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22A05",
      "54H11"
    ],
    "keywords": [
      "algebraic sets",
      "markovs problem",
      "consistent solution",
      "continuum hypothesis implies",
      "hausdorff group topology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5558S"
    }
  }
}