{
  "id": "math/0401033",
  "version": "v3",
  "published": "2004-01-05T20:11:21.000Z",
  "updated": "2020-06-17T06:16:18.000Z",
  "title": "T-homotopy and refinement of observation (V) : Strom model structure for branching and merging homologies",
  "authors": [
    "Philippe Gaucher"
  ],
  "comment": "The material is obsolete. The good h-model structure of flows is constructed in arXiv:1904.04159 and the section about the branching and merging homologies contains a mistake",
  "categories": [
    "math.AT",
    "math.CT"
  ],
  "abstract": "We check that there exists a model structure on the category of flows whose weak equivalences are the S-homotopy equivalences. As an application, we prove that the generalized T-homotopy equivalences preserve the branching and merging homology theories of a flow. The method of proof is completely different from the one of the third part of this series of papers.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-05-16T17:48:42.000Z",
      "comment": "v2 : an application added ; 26 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2020-06-17T06:16:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P99",
      "68Q85"
    ],
    "keywords": [
      "strom model structure",
      "observation",
      "refinement",
      "generalized t-homotopy equivalences preserve",
      "third part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......1033G"
    }
  }
}