{
  "abstract": "We prove a two-dimensional version of Hermida's equivalence result on representable multicategories and classify its stricter versions. The obtained three-dimensional equivalence of the respective totality categories is of categories enriched over the multicategory $\\mathsf{Bicat}$ of Verity. There is a basic enriched equivalence with respect to inherently lax monoidal pseudofunctors, and a one with respect to pseudo-monoidal pseudofunctors, related to the latter via the forgetful enriched functors. We extend Slattery's result on a bi-multicategory structure of the Kleisli bicategory of a 2-multicategory encompassing bi-representability.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08454",
  "author_total": 1,
  "authors": [
    {
      "name": "Bojana Femić"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1rdq8q2n9k5wh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08454",
  "fulltext_url": null,
  "id": "1rdq8q2n9k5wh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08454",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CT"
    ],
    [
      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
    ]
  ],
  "openalex": "W7220965627",
  "pdf_url": "https://arxiv.org/pdf/2610.08454",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1rdq8q2n9k5wh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.08454",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08454"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Bi-representable bi-multicategories",
  "title_text": "Bi-representable bi-multicategories",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/1rdq8q2n9k5wh",
  "venue": "arXiv",
  "versions": []
}