{
  "id": "math/0410405",
  "version": "v2",
  "published": "2004-10-18T19:28:05.000Z",
  "updated": "2011-02-10T13:57:40.000Z",
  "title": "Rectifying Partial Algebras Over Operads of Complexes",
  "authors": [
    "Scott O. Wilson"
  ],
  "comment": "largely rewritten",
  "journal": "Topology and Its Appl., Vol 157, Issue 18, Dec. 1, 2010, 2880-2888",
  "categories": [
    "math.AT",
    "math.GT"
  ],
  "abstract": "In this paper we prove that, in the category of chain complexes, partial algebras can be functorially replaced by quasi-isomorphic algebras. In particular, partial algebras contain all of the important homological and homotopical information that genuine algebras do. Applying this result to McClure's partial algebra in [6] shows that the chains of a PL-manifold are quasi-isomorphic to an E-infinity algebra.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-02-10T13:57:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55U15",
      "55U35"
    ],
    "keywords": [
      "rectifying partial algebras",
      "partial algebras contain",
      "mcclures partial algebra",
      "quasi-isomorphic algebras",
      "e-infinity algebra"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....10405W"
    }
  }
}