{
  "abstract": "We give a negative answer to the open problem posed by Adámek and Rosický in 2001, asking whether the cocompletion of any small category under sifted colimits is finitely accessible. We will construct an infinite family of counterexamples.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08548",
  "author_total": 1,
  "authors": [
    {
      "name": "Yuto Kawase"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/frn11bpk6t0ym.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08548",
  "fulltext_url": null,
  "id": "frn11bpk6t0ym",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08548",
  "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.CT"
    ],
    [
      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
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  "openalex": "W7221017753",
  "pdf_url": "https://arxiv.org/pdf/2610.08548",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/frn11bpk6t0ym.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.08548",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08548"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Cocompletion under sifted colimits need not be finitely accessible",
  "title_text": "Cocompletion under sifted colimits need not be finitely accessible",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/frn11bpk6t0ym",
  "venue": "arXiv",
  "versions": []
}