{
  "id": "0707.2585",
  "version": "v1",
  "published": "2007-07-17T18:18:11.000Z",
  "updated": "2007-07-17T18:18:11.000Z",
  "title": "Derived completions in stable homotopy theory",
  "authors": [
    "Gunnar Carlsson"
  ],
  "comment": "33 pages",
  "categories": [
    "math.AT",
    "math.AC"
  ],
  "abstract": "We construct a notion of derived completion which applies to homomorphisms of commutative S-algebras. We study the relationship of the construction with other constructions of completions, and prove various invariance properties. The construction is expected to have applications within algebraic K-theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-17T18:18:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P42",
      "13J10"
    ],
    "keywords": [
      "stable homotopy theory",
      "derived completion",
      "construction",
      "invariance properties",
      "algebraic k-theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.2585C"
    }
  }
}