{
  "abstract": "Let X be a Tychonoff space and B_1(X) be the space of real-valued Baire 1 functions. Using the classical Lebesgue's characterization of Baire 1 functions and the strong Choquet game we prove that if X is locally compact or a topological sum of sigma-compact spaces, the space B_1(X) equipped with the topology τ_UC of uniform convergence on compacta, is a strong Choquet space. For the Sorgenfrey line S, the space (B_1(S); τ_UC) is of the first Baire category in itself.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.34517",
  "author_total": 1,
  "authors": [
    {
      "name": "Ľubica Holá"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/063qrgryzpk97.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.34517",
  "fulltext_url": null,
  "id": "063qrgryzpk97",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.34517",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GN"
    ],
    [
      "openalex",
      "2608|Advanced Topology and Set Theory"
    ]
  ],
  "openalex": "W7214706819",
  "pdf_url": "https://arxiv.org/pdf/2609.34517",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/063qrgryzpk97.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.34517",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.34517"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GN",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Baire 1 functions and the strong Choquet property",
  "title_text": "Baire 1 functions and the strong Choquet property",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/063qrgryzpk97",
  "venue": "arXiv",
  "versions": []
}