{
  "id": "0911.4075",
  "version": "v1",
  "published": "2009-11-20T16:28:31.000Z",
  "updated": "2009-11-20T16:28:31.000Z",
  "title": "The topological structure of (homogeneous) spaces and groups with countable cs*-character",
  "authors": [
    "Taras Banakh",
    "Lyubomyr Zdomskyy"
  ],
  "journal": "Appl. Gen. Top. 5:1 (2004), 25--48",
  "categories": [
    "math.GN",
    "math.GR"
  ],
  "abstract": "In this paper we introduce and study three new cardinal topological invariants called the cs*, cs-, and sb-characters. The class of topological spaces with countable cs*-character is closed under many topological operations and contains all aleph-spaces and all spaces with point-countable cs*-network. Our principal result states that each non-metrizable sequential topological group with countable cs*-character has countable pseudo-character and contains an open $k_\\omega$-subgroup.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-20T16:28:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22A05",
      "54A20",
      "54A25",
      "54A35",
      "54D55",
      "54E35",
      "54H11"
    ],
    "keywords": [
      "topological structure",
      "principal result states",
      "non-metrizable sequential topological group",
      "cardinal topological invariants",
      "homogeneous"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.4075B"
    }
  }
}