{
  "id": "2111.08653",
  "version": "v2",
  "published": "2021-11-16T17:35:14.000Z",
  "updated": "2022-03-19T11:50:37.000Z",
  "title": "Multicategories Model All Connective Spectra",
  "authors": [
    "Niles Johnson",
    "Donald Yau"
  ],
  "comment": "24 pages. To appear in Homology, Homotopy, and Applications. We discuss multifunctoriality of the free construction in arXiv:2202.13659",
  "categories": [
    "math.AT",
    "math.CT",
    "math.KT"
  ],
  "abstract": "There is a free construction from multicategories to permutative categories, left adjoint to the endomorphism multicategory construction. The main result shows that these functors induce an equivalence of homotopy theories. This result extends a similar result of Thomason, that permutative categories model all connective spectra.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-03-19T11:50:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18M65",
      "55P42",
      "18M05"
    ],
    "keywords": [
      "connective spectra",
      "multicategories model",
      "endomorphism multicategory construction",
      "similar result",
      "left adjoint"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}