{
  "id": "1305.1794",
  "version": "v2",
  "published": "2013-05-08T12:25:38.000Z",
  "updated": "2013-05-22T15:10:50.000Z",
  "title": "On a theorem by Juhász and Szentmiklóssy",
  "authors": [
    "Paolo Lipparini"
  ],
  "comment": "v2, added a section on decomposabilty of ultrafilters, various other improvements",
  "categories": [
    "math.GN"
  ],
  "abstract": "We extend a theorem by Juh\\'asz and Szentmikl\\'ossy to notions related to pseudocompactness. We also allow the case when one of the cardinals under consideration is singular. We give an application to the study of decomposable ultrafilters: if \\kappa\\ is singular, D is a uniform ultrafilter over \\kappa ^+, and D' is a uniform ultrafilter over cf \\kappa, then D' \\times D is \\kappa-decomposable.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-22T15:10:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54D20",
      "03E05",
      "54A20",
      "03E75"
    ],
    "keywords": [
      "szentmiklóssy",
      "uniform ultrafilter",
      "pseudocompactness",
      "consideration"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.1794L"
    }
  }
}