{
  "abstract": "We construct a metric 2-sphere of finite Hausdorff 2-measure that is doubling, linearly locally connected and Loewner but cannot be mapped to the standard sphere by a quasisymmetric mapping. Our result gives a negative answer to a question of Ntalampekos.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16388",
  "author_total": 1,
  "authors": [
    {
      "name": "Matthew Romney"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b81yhce4vv07k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16388",
  "fulltext_url": null,
  "id": "b81yhce4vv07k",
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  "landing_url": "https://arxiv.org/abs/2609.16388",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.MG"
    ],
    [
      "openalex",
      "2608|Analytic and geometric function theory"
    ]
  ],
  "openalex": "W7213410744",
  "pdf_url": "https://arxiv.org/pdf/2609.16388",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b81yhce4vv07k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:45Z",
      "native_id": "2609.16388",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16388"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.MG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "A doubling Loewner sphere that is not a quasisphere",
  "title_text": "A doubling Loewner sphere that is not a quasisphere",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/b81yhce4vv07k",
  "venue": "arXiv",
  "versions": []
}