{
  "abstract": "Let $K$ be a compact Hausdorff space and $p\\in K$. We prove that the Banach space $C(K,p)=\\{f\\in C(K,\\mathbb R):f(p)=0\\}$ fails the ball fixed point property (BFPP) whenever $p$ is non-isolated, answering a question of Avilés, Japón, Lennard, Martínez-Cervantes and Stawski. Consequently, $C_0(L)$ fails the BFPP for every noncompact locally compact Hausdorff space $L$. Together with Barroso's characterization for $C(K)$, this yields complete topological classifications of the BFPP for $C_0(L)$ and $C(K,p)$. We also resolve a second question of Avilés et al., showing that the BFPP of $C(K)$ implies that of $C(K,p)$ for every compact Hausdorff space $K$ and every $P$-point $p\\in K$ if and only if there are no measurable cardinals.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01486",
  "author_total": 1,
  "authors": [
    {
      "name": "Lily DiPaulo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/05n8h3z5711c6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01486",
  "fulltext_url": null,
  "id": "05n8h3z5711c6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01486",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.FA"
    ],
    [
      "arxiv",
      "math.GN"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01486",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/05n8h3z5711c6.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01486",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01486"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GN",
      "subfield": "geometry-topology"
    }
  ],
  "title": "The ball fixed point property for continuous functions on locally compact spaces",
  "title_text": "The ball fixed point property for continuous functions on locally compact spaces",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/05n8h3z5711c6",
  "venue": "arXiv",
  "versions": []
}