{
  "abstract": "In previous work, we constructed a closed skew monoidal structure on the category of Gray-categories and Gray-functors whose internal hom Psd(A, B) captures pseudomaps and pseudo-transformations. In the present paper we give a symmetric description of the Gray-category Psd(A,B) and use this to prove that the skew monoidal structure is symmetric skew monoidal.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31410",
  "author_total": 2,
  "authors": [
    {
      "name": "John Bourke"
    },
    {
      "name": "Gabriele Lobbia"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dd50aeb7f0y7f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31410",
  "fulltext_url": null,
  "id": "dd50aeb7f0y7f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31410",
  "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",
      "math.CT"
    ],
    [
      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
    ]
  ],
  "openalex": "W7223387252",
  "pdf_url": "https://arxiv.org/pdf/2610.31410",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dd50aeb7f0y7f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.31410",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31410"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "The symmetric skew monoidal structure of Gray-categories",
  "title_text": "The symmetric skew monoidal structure of Gray-categories",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/dd50aeb7f0y7f",
  "venue": "arXiv",
  "versions": []
}