{
  "id": "1402.4775",
  "version": "v2",
  "published": "2014-02-19T19:20:44.000Z",
  "updated": "2016-05-05T15:08:28.000Z",
  "title": "Higher homotopy excision and Blakers-Massey theorems for structured ring spectra",
  "authors": [
    "Michael Ching",
    "John E. Harper"
  ],
  "comment": "To appear in Advances in Mathematics. Final journal version",
  "categories": [
    "math.AT"
  ],
  "abstract": "Working in the context of symmetric spectra, we prove higher homotopy excision and higher Blakers-Massey theorems, and their duals, for algebras and left modules over operads in the category of modules over a commutative ring spectrum (e.g., structured ring spectra).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-19T19:20:44.000Z",
      "abstract": "Working in the context of symmetric spectra, we prove higher homotopy excision and higher Blakers-Massey theorems, and their duals, for algebras and left modules over operads in the category of modules over a commutative ring spectrum (e.g., structured ring spectra). We also prove analogous results for algebras and left modules over operads in unbounded chain complexes.",
      "comment": "32 pages. arXiv admin note: text overlap with arXiv:1102.1234",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-05-05T15:08:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P43",
      "55P48",
      "55U35",
      "55U99",
      "18G55"
    ],
    "keywords": [
      "ring spectrum",
      "higher homotopy excision",
      "structured ring spectra",
      "left modules",
      "higher blakers-massey theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.4775C"
    }
  }
}