{
  "id": "2211.10677",
  "version": "v1",
  "published": "2022-11-19T12:01:48.000Z",
  "updated": "2022-11-19T12:01:48.000Z",
  "title": "QFS-space and its properties",
  "authors": [
    "Wang Wu"
  ],
  "comment": "10 pages. arXiv admin note: substantial text overlap with arXiv:2211.08595",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, the concept of quasi-finitely separating map and quasiapproximate identity are introduced. Based on these concepts, QFS-spaces and quasicontinuous maps are defined. Properties and characterizations of QFS-spaces are explored. Main results are: (1) Each QFS-space is quasicontinuous space; (2) Closed subspaces, quasicontinuous projection spaces of QFS-spaces are QFS-spaces; (3) Continuous retracts of QFS-spaces are QFS-spaces and a kind of retracts of QFS-spaces are constructed; (4) Upper powerspaces of continuous QFS-spaces are FS-spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-19T12:01:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54B20",
      "54D99",
      "06B35",
      "06F30"
    ],
    "keywords": [
      "properties",
      "quasiapproximate identity",
      "main results",
      "quasicontinuous projection spaces",
      "upper powerspaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}