{
  "id": "1810.08478",
  "version": "v1",
  "published": "2018-10-19T13:07:13.000Z",
  "updated": "2018-10-19T13:07:13.000Z",
  "title": "On 1-connected 8-manifolds with the same homology as $S^3\\times S^5$",
  "authors": [
    "Xueqi Wang"
  ],
  "comment": "16 pages",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "In this article, we classify 1-connected 8-dimensional Poincar\\'e complexes, topological manifolds and smooth manifolds with the same homology as $S^3\\times S^5$. Some questions of Escher-Ziller are also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-19T13:07:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "poincare complexes",
      "smooth manifolds",
      "escher-ziller"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}