{
  "id": "1710.08081",
  "version": "v1",
  "published": "2017-10-23T03:47:05.000Z",
  "updated": "2017-10-23T03:47:05.000Z",
  "title": "Cohomogeneity one Alexandrov spaces in low dimensions",
  "authors": [
    "Fernando Galaz-Garcia",
    "Masoumeh Zarei"
  ],
  "comment": "47 pages",
  "categories": [
    "math.DG",
    "math.MG"
  ],
  "abstract": "We classify closed, simply-connected cohomogeneity-one Alexandrov spaces in dimensions $5$, $6$ and $7$. We show that every closed, simply-connected smooth $n$-orbifold, $2\\leq n\\leq 7$ with a cohomogeneity one action is equivariantly homeomorphic to a smooth good orbifold of cohomogeneity one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-23T03:47:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C23",
      "53C20",
      "57S10"
    ],
    "keywords": [
      "low dimensions",
      "simply-connected cohomogeneity-one alexandrov spaces",
      "simply-connected smooth",
      "equivariantly homeomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}