{
  "id": "math/9903114",
  "version": "v1",
  "published": "1999-03-18T22:38:58.000Z",
  "updated": "1999-03-18T22:38:58.000Z",
  "title": "On absolutely divergent series",
  "authors": [
    "Sakae Fuchino",
    "Heike Mildenberger",
    "Saharon Shelah",
    "Peter Vojtas"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We show that in the aleph_2-stage countable support iteration of Mathias forcing over a model of CH the complete Boolean algebra generated by absolutely divergent series under eventual dominance is not isomorphic to the completion of P(omega)/fin. This complements Vojtas' result, that under cf(c)=p the two algebras are isomorphic",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-03-18T22:38:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E05",
      "03E35",
      "06G05",
      "40A05"
    ],
    "keywords": [
      "absolutely divergent series",
      "countable support iteration",
      "complements vojtas",
      "isomorphic",
      "eventual dominance"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......3114F"
    }
  }
}