{
  "id": "2412.06942",
  "version": "v1",
  "published": "2024-12-09T19:40:46.000Z",
  "updated": "2024-12-09T19:40:46.000Z",
  "title": "Hausdorff reflection preserves shape",
  "authors": [
    "Diego Mondéjar"
  ],
  "categories": [
    "math.GN",
    "math.AT",
    "math.GT"
  ],
  "abstract": "We show that the Hausdorff reflection preserves the shape type of spaces. Some examples as well as the applicability in inverse limits of finite spaces are presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-12-09T19:40:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54B15",
      "54C56",
      "54D10",
      "55P55"
    ],
    "keywords": [
      "hausdorff reflection preserves shape",
      "finite spaces",
      "inverse limits",
      "shape type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}