{
  "abstract": "We prove a homotopical Euclidean isoperimetric inequality for Lipschitz maps from the unit n-sphere into metric spaces admitting a bounded bicombing, which includes CAT(0)-spaces and normed vector spaces. To do so, we first refine the second-named author's Euclidean isoperimetric inequality for singular Lipschitz chains to this setting. Then, we show that a singular Lipschitz chain filling induces a Lipschitz map filling of almost the same volume or less, by adapting a strategy seen in work of Gromov and others.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05513",
  "author_total": 2,
  "authors": [
    {
      "name": "Noa Vikman"
    },
    {
      "name": "Stefan Wenger"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/98frz918hxvq1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05513",
  "fulltext_url": null,
  "id": "98frz918hxvq1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05513",
  "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.DG"
    ],
    [
      "arxiv",
      "math.MG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05513",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/98frz918hxvq1.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.05513",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05513"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Filling Lipschitz spheres in metric spaces",
  "title_text": "Filling Lipschitz spheres in metric spaces",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:29Z",
  "url": "https://research.draconitic.com/paper/98frz918hxvq1",
  "venue": "arXiv",
  "versions": []
}