{
  "abstract": "We establish local volume doubling and a local $L^2$-Poincaré inequality for metric measure spaces tamed by a measure in the extended Kato class that satisfy the bounded interpolation property. To this end, we construct a bi-Lipschitz time change to a metric measure space satisfying a uniform lower Ricci curvature bound. As an application, we obtain pointed measured Gromov-Hausdorff precompactness for such spaces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.11478",
  "author_total": 4,
  "authors": [
    {
      "name": "Mathias Braun"
    },
    {
      "name": "Chiara Rigoni"
    },
    {
      "name": "Christian Rose"
    },
    {
      "name": "David Tewodrose"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ectxrnnd10m8n.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.11478",
  "fulltext_url": null,
  "id": "ectxrnnd10m8n",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.11478",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "arxiv",
      "math.MG"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7221149086",
  "pdf_url": "https://arxiv.org/pdf/2610.11478",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ectxrnnd10m8n.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:58Z",
      "native_id": "2610.11478",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.11478"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Doubling, Poincaré and Gromov-Hausdorff precompactness for tamed spaces",
  "title_text": "Doubling, Poincaré and Gromov-Hausdorff precompactness for tamed spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:58Z",
  "url": "https://research.draconitic.com/paper/ectxrnnd10m8n",
  "venue": "arXiv",
  "versions": []
}