{
  "abstract": "Under $\\mathfrak p=\\mathfrak c$, Cantor space contains a weak $λ$-set that is not a $λ$-set. This answers the consistency question of de Oliveira Rodrigues, dos Santos Ronchim, and Szeptycki. The hypothesis $\\mathfrak p=\\mathfrak c$ is compatible with the failure of the continuum hypothesis. The construction combines the finite-unions form of Hindman's theorem with Bell's characterization of $\\mathfrak p$ in terms of $σ$-centered forcing. The increasing enumerations of the infinite members of the constructed space form an unbounded family under eventual domination. This makes the countable set of finite subsets of $ω$ a witness to the failure of the $λ$-property.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06312",
  "author_total": 2,
  "authors": [
    {
      "name": "Alexander V. Osipov"
    },
    {
      "name": "Anton E. Lipin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4ssvz6xr3zfts.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06312",
  "fulltext_url": null,
  "id": "4ssvz6xr3zfts",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06312",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GN"
    ],
    [
      "arxiv",
      "math.LO"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06312",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4ssvz6xr3zfts.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.06312",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06312"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GN",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    }
  ],
  "title": "A weak $λ$-set that is not a $λ$-set under $\\frak{p} = \\frak{c}$",
  "title_text": "A weak λ-set that is not a λ-set under frakp = frakc",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/4ssvz6xr3zfts",
  "venue": "arXiv",
  "versions": []
}