{
  "abstract": "In this paper, we focus on well-filtered spaces. By using the Rudin sets and WD sets, we obtain the following results: (1) The product of arbitrary many Scott well-filtered dcpos is still well-filtered with respect to the Scott topology. Thus we give positive answers for two questions proposed by Xu and Zhao; (2) Let P be a dcpo with ΣK(P) being well-filtered and Q a RB-domain. Then ΣK(P\\times Q) is well- filtered if K(P\\times Q) is a dcpo; (3) A intrinsic characterization of the WD sets is given by using Scott open filters.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01518",
  "author_total": 1,
  "authors": [
    {
      "name": "Zhengmao He"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/72dxxdbtv8942.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01518",
  "fulltext_url": null,
  "id": "72dxxdbtv8942",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01518",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GN"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01518",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/72dxxdbtv8942.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01518",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01518"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GN",
      "subfield": "geometry-topology"
    }
  ],
  "title": "A study for well-filtered spaces",
  "title_text": "A study for well-filtered spaces",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/72dxxdbtv8942",
  "venue": "arXiv",
  "versions": []
}