{
  "abstract": "We consider Mykhaylyuk's problem asking whether the Baire-one property for every separately continuous real-valued function on each of the squares $X^2$ and $Y^2$ implies the same property on $X\\times Y$. Assuming $\\mathfrak b>ω_1$, the article obtains a negative answer using the compact cube $K=[-1,1]^{ω_1}$ and the space $E=(c_{00}(ω_1),σ(c_{00}(ω_1),\\ell_\\infty(ω_1)))$. It presents a finite-coordinate characterization of Baire-one functions on $E$ under this hypothesis.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01818",
  "author_total": 1,
  "authors": [
    {
      "name": "Alexander V. Osipov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4ejp5pdh43rng.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01818",
  "fulltext_url": null,
  "id": "4ejp5pdh43rng",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01818",
  "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"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01818",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4ejp5pdh43rng.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01818",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01818"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GN",
      "subfield": "geometry-topology"
    }
  ],
  "title": "On Separately Continuous Functions of the First Baire Class on Squares and Mixed Products",
  "title_text": "On Separately Continuous Functions of the First Baire Class on Squares and Mixed Products",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/4ejp5pdh43rng",
  "venue": "arXiv",
  "versions": []
}