{
  "abstract": "For a finitely complete category X, we prove that the lax comma category Cat//X is cartesian closed if and only if its free coproduct completion Fam(X) is cartesian closed. The proof uses a change-of-base theorem: postcomposition with a functor induces a left adjoint between lax comma categories precisely when that functor is a left multiadjoint. We describe the exponentials and derive examples from known results on family categories.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01184",
  "author_total": 2,
  "authors": [
    {
      "name": "Maria Manuel Clementino"
    },
    {
      "name": "Fernando Lucatelli Nunes"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1dew65rs3f62f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01184",
  "fulltext_url": null,
  "id": "1dew65rs3f62f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01184",
  "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",
      "cs.PL"
    ],
    [
      "arxiv",
      "math.CT"
    ],
    [
      "arxiv",
      "math.LO"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01184",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1dew65rs3f62f.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01184",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01184"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    }
  ],
  "title": "Cartesian closedness of lax comma categories",
  "title_text": "Cartesian closedness of lax comma categories",
  "type": "preprint",
  "updated_at": "2026-11-03T12:21:10Z",
  "url": "https://research.draconitic.com/paper/1dew65rs3f62f",
  "venue": "arXiv",
  "versions": []
}