{
  "id": "math/0408215",
  "version": "v2",
  "published": "2004-08-17T06:01:23.000Z",
  "updated": "2009-03-25T20:52:57.000Z",
  "title": "Higher homotopy commutativity and cohomology of finite H-spaces",
  "authors": [
    "Yutaka Hemmi",
    "Yusuke Kawamoto"
  ],
  "comment": "This is the version published by Geometry & Topology Monographs on 29 January 2007",
  "journal": "Geom. Topol. Monogr. 10 (2007) 167-186",
  "doi": "10.2140/gtm.2007.10.167",
  "categories": [
    "math.AT"
  ],
  "abstract": "We study connected mod p finite A_p-spaces admitting AC_n-space structures with n<p for an odd prime p. Our result shows that if n is greator than (p-1)/2, then the mod p Steenrod algebra acts on the mod p cohomology of such a space in a systematic way. Moreover, we consider A_p-spaces which are mod p homotopy equivalent to product spaces of odd dimensional spheres. Then we determine the largest integer n for which such a space admits an AC_n-space structure compatible with the A_p-space structure.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-03-25T20:52:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P45",
      "57T25",
      "55P48",
      "55S05"
    ],
    "keywords": [
      "higher homotopy commutativity",
      "finite h-spaces",
      "cohomology",
      "odd dimensional spheres",
      "steenrod algebra acts"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}