{
  "id": "2110.03138",
  "version": "v2",
  "published": "2021-10-07T01:51:04.000Z",
  "updated": "2023-03-23T09:17:44.000Z",
  "title": "Levels of algebraicity in stable homotopy theories",
  "authors": [
    "Jocelyne Ishak",
    "Constanze Roitzheim",
    "Jordan Williamson"
  ],
  "comment": "30 pages, to appear in Journal of the LMS",
  "categories": [
    "math.AT",
    "math.CT"
  ],
  "abstract": "We study several different notions of algebraicity in use in stable homotopy theory and prove implications between them. The relationships between the different meanings of algebraic are unexpectedly subtle, and we illustrate this with several interesting examples arising from chromatic homotopy theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2023-03-23T09:17:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P42",
      "55U35"
    ],
    "keywords": [
      "stable homotopy theory",
      "algebraicity",
      "chromatic homotopy theory",
      "unexpectedly subtle",
      "implications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}