{
  "id": "2212.03667",
  "version": "v1",
  "published": "2022-12-07T14:34:38.000Z",
  "updated": "2022-12-07T14:34:38.000Z",
  "title": "A weakly Lindelöf space which does not have the property $^*\\mathcal{U}_{fin}(\\mathcal{O},\\mathcal{O})$",
  "authors": [
    "Servet Soyarslan",
    "Süleyman Önal"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "We show that there exists a Tychono? weakly Lindel\\\"of space which does not have the property $^*\\mathcal{U}_{fin}(\\mathcal{O},\\mathcal{O})$. This result answers the following open questions. [2] Does a weakly Lindel\\\"of space have the property $^*\\mathcal{U}_{1}(\\mathcal{O},\\mathcal{O})$? [3] Is there a Tychono? 1-star-Lindel\\\"of space which does not have the property $^*\\mathcal{U}_{fin}(\\mathcal{O},\\mathcal{O})$?",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-07T14:34:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weakly lindelöf space",
      "open questions",
      "result answers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}