{
  "abstract": "We construct a meet-continuous dcpo whose Scott space is core-compact but neither sober nor locally compact. The example is a proper sub-dcpo of a locally compact sober complete lattice, and restriction induces an isomorphism between their lattices of Scott-closed sets. It follows that a locally compact sober dcpo need not be determined, among all dcpos, by its Scott-closed-set lattice.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.22033",
  "author_total": 1,
  "authors": [
    {
      "name": "Yuxu Chen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8czv21cyf2y4c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.22033",
  "fulltext_url": null,
  "id": "8czv21cyf2y4c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.22033",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GN"
    ],
    [
      "openalex",
      "1703|Advanced Algebra and Logic"
    ]
  ],
  "openalex": "W7222696055",
  "pdf_url": "https://arxiv.org/pdf/2610.22033",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8czv21cyf2y4c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.22033",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.22033"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GN",
      "subfield": "geometry-topology"
    }
  ],
  "title": "A non-sober core-compact meet-continuous dcpo",
  "title_text": "A non-sober core-compact meet-continuous dcpo",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/8czv21cyf2y4c",
  "venue": "arXiv",
  "versions": []
}