{
  "abstract": "Horn conjectured that whenever $K$ is a nonempty compact convex subset of a Banach space and $F,G:K\\to K$ are continuous commuting maps, there exists $x\\in K$ such that $F(x)=G(x)$. We give a counterexample in a separable Hilbert space. The construction uses an exactly commuting ladder of coincidence-free maps between finite trees, due to Oversteegen and Rogers.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.06247",
  "author_total": 1,
  "authors": [
    {
      "name": "Faruk Temur"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1d1dkrts5hb9b.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.06247",
  "fulltext_url": null,
  "id": "1d1dkrts5hb9b",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.06247",
  "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.FA"
    ],
    [
      "arxiv",
      "math.GN"
    ],
    [
      "openalex",
      "2608|Fixed Point Theorems Analysis"
    ]
  ],
  "openalex": "W7211997645",
  "pdf_url": "https://arxiv.org/pdf/2609.06247",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1d1dkrts5hb9b.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.06247",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.06247"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GN",
      "subfield": "geometry-topology"
    }
  ],
  "title": "A Counterexample to Horn's Coincidence Conjecture",
  "title_text": "A Counterexample to Horn's Coincidence Conjecture",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/1d1dkrts5hb9b",
  "venue": "arXiv",
  "versions": []
}