{
  "id": "math/9912183",
  "version": "v1",
  "published": "1999-12-22T12:59:50.000Z",
  "updated": "1999-12-22T12:59:50.000Z",
  "title": "Realizing coalgebras over the Steenrod algebra",
  "authors": [
    "David Blanc"
  ],
  "comment": "AMSLATEX, 24 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "We describe algebraic obstruction theories for realizing an abstract coalgebra K_* over the mod p Steenrod algebra as the homology of a topological space, and for distinguishing between the p-homotopy types of different realizations. The theories are expressed in terms of the Quillen cohomology of K_*.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-12-22T12:59:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55S10",
      "18G55"
    ],
    "keywords": [
      "steenrod algebra",
      "realizing coalgebras",
      "algebraic obstruction theories",
      "abstract coalgebra",
      "p-homotopy types"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math.....12183B"
    }
  }
}