{
  "id": "1810.06505",
  "version": "v1",
  "published": "2018-10-15T16:36:02.000Z",
  "updated": "2018-10-15T16:36:02.000Z",
  "title": "An Axiomatic Characterization of Steenrod's cup-$i$ Products",
  "authors": [
    "A. M. Medina-Mardones"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "We present axioms that determine the cup-$i$ products introduced explicitly by Steenrod up to isomorphism, and not just homotopy. As is well known, these products generalize the Alexander-Whitney cup product on cochains and induce the Steenrod squares in cohomology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-15T16:36:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "axiomatic characterization",
      "alexander-whitney cup product",
      "steenrod squares",
      "isomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}