{
  "abstract": "We study category-like structures in which composition is not associative, especially Munch-Maccagnoni's duploids, in univalent foundations. Included is a definition of what a univalent duploid is: one where isomorphisms of a suitable kind render the objects indistinguishable to the type theory. We show that the existing construction of a duploid from an adjunction is not univalent as a \"single-sorted\" duploid, and provide a novel construction which is. This work is formalized in the UniMath library for the Rocq proof assistant.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00068",
  "author_total": 1,
  "authors": [
    {
      "name": "Beatrice Szilvasy"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7n0jtx6fdvr6j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00068",
  "fulltext_url": null,
  "id": "7n0jtx6fdvr6j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00068",
  "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",
      "cs.LO"
    ],
    [
      "arxiv",
      "cs.PL"
    ],
    [
      "arxiv",
      "math.CT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00068",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7n0jtx6fdvr6j.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.00068",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00068"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Univalent Non-Associative Categorical Structures",
  "title_text": "Univalent Non-Associative Categorical Structures",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/7n0jtx6fdvr6j",
  "venue": "arXiv",
  "versions": []
}