{
  "id": "1810.05140",
  "version": "v1",
  "published": "2018-10-11T17:42:48.000Z",
  "updated": "2018-10-11T17:42:48.000Z",
  "title": "Countably compact group topologies on non-torsion abelian groups of size continuum with non-trivial convergent sequences",
  "authors": [
    "{Matheus Koveroff Bellini",
    "Ana Carolina Boero",
    "Irene Castro Pereira",
    "Vinicius de Oliveira Rodrigues",
    "Artur Hideyuki Tomita"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "Under $\\mathfrak{p} = \\mathfrak{c}$, we answer Question 24 of \\cite{dikranjan&shakhmatov3} for cardinality ${\\mathfrak c}$ , by showing that if a non-torsion Abelian group of size continuum admits a countably compact Hausdorff group topology, then it admits a countably compact Hausdorff group topology with non-trivial convergent sequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-11T17:42:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H11",
      "22A05",
      "54A35",
      "54G20"
    ],
    "keywords": [
      "non-torsion abelian group",
      "non-trivial convergent sequences",
      "countably compact group topologies",
      "countably compact hausdorff group topology",
      "size continuum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}