{
  "abstract": "We consider several families of sequences of Baire-one self-maps of $[0,1]$ investigated by A. Alikhani-Koopaei. They form a chain of inclusions where each space is closed and nowhere dense in the next one. We prove that each space is lower $2/3$-porous in the next one. If one modifies these families where sequences of Baire-one functions are real-valued uniformly bounded, then they are Banach spaces and each space of the respective chain is c-porous in the next one.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.16909",
  "author_total": 2,
  "authors": [
    {
      "name": "Marek Balcerzak"
    },
    {
      "name": "Gertruda Ivanova"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9pfgsb3bm761w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.16909",
  "fulltext_url": null,
  "id": "9pfgsb3bm761w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.16909",
  "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",
      "2610|Advanced Banach Space Theory"
    ]
  ],
  "openalex": "W7221820356",
  "pdf_url": "https://arxiv.org/pdf/2610.16909",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9pfgsb3bm761w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:16Z",
      "native_id": "2610.16909",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.16909"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GN",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Sequence spaces of Baire-one functions and their porosity",
  "title_text": "Sequence spaces of Baire-one functions and their porosity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:16Z",
  "url": "https://research.draconitic.com/paper/9pfgsb3bm761w",
  "venue": "arXiv",
  "versions": []
}