{
  "id": "1404.6557",
  "version": "v2",
  "published": "2014-04-25T21:09:25.000Z",
  "updated": "2015-03-24T09:17:10.000Z",
  "title": "Finite functorial semi-norms and representability",
  "authors": [
    "Clara Loeh"
  ],
  "comment": "18 pages; v2: clarified Example 4.3, added reference",
  "categories": [
    "math.AT"
  ],
  "abstract": "Functorial semi-norms are semi-normed refinements of functors such as singular (co)homology. We investigate how different types of representability affect the (non-)triviality of finite functorial semi-norms on certain functors or classes. In particular, we consider representable functors, generalised cohomology theories, and so-called weakly flexible homology classes in singular homology and l1-homology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-25T21:09:25.000Z",
      "comment": "17 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-03-24T09:17:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N10",
      "55N35",
      "57N65"
    ],
    "keywords": [
      "finite functorial semi-norms",
      "singular homology",
      "generalised cohomology theories",
      "weakly flexible homology classes",
      "representability affect"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.6557L"
    }
  }
}