{
  "id": "1805.07184",
  "version": "v1",
  "published": "2018-05-18T13:01:55.000Z",
  "updated": "2018-05-18T13:01:55.000Z",
  "title": "Cellular $E_k$-algebras",
  "authors": [
    "Soren Galatius",
    "Alexander Kupers",
    "Oscar Randal-Williams"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "We give a set of foundations for cellular $E_k$-algebras which are especially convenient for applications to homological stability. We provide conceptual and computational tools in this setting, such as filtrations, a homology theory for $E_k$-algebras with a Hurewicz theorem, CW approximations, and many spectral sequences, which shall be used for such applications in future papers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-18T13:01:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R90",
      "57R15",
      "57R56",
      "55P47"
    ],
    "keywords": [
      "applications",
      "computational tools",
      "homology theory",
      "hurewicz theorem",
      "cw approximations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}