{
  "id": "1806.09901",
  "version": "v1",
  "published": "2018-06-26T11:00:59.000Z",
  "updated": "2018-06-26T11:00:59.000Z",
  "title": "A nilpotent Whitehead theorem for TQ-homology of structured ring spectra",
  "authors": [
    "Michael Ching",
    "John E. Harper"
  ],
  "comment": "9 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "The aim of this short paper is to prove a TQ-Whitehead theorem for nilpotent structured ring spectra. We work in the framework of symmetric spectra and algebras over operads in modules over a commutative ring spectrum. Our main result can be thought of as a TQ-homology analog for structured ring spectra of Dror's generalized Whitehead theorem for topological spaces; here TQ-homology is short for topological Quillen homology. We also prove retract theorems for the TQ-completion and homotopy completion of nilpotent structured ring spectra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-26T11:00:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18G55",
      "55P43",
      "55P48",
      "55U35"
    ],
    "keywords": [
      "ring spectrum",
      "nilpotent whitehead theorem",
      "nilpotent structured ring spectra",
      "drors generalized whitehead theorem",
      "tq-homology analog"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}