{
  "abstract": "The Gromov-Hausdorff space is a certain metric space induced by the Gromov-Hausdorff convergence, and we study an isometric embedding into this space. While the subspace of non-negative real numbers in the Euclidean space admits an isometric embedding, we prove that the subspace of $\\ell^\\infty$ consisting of non-increasing sequences with non-negative terms can be isometrically embedded into the Gromov-Hausdorff space.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34727",
  "author_total": 1,
  "authors": [
    {
      "name": "Takuma Byakuno"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/45fr9zb7nmk1c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34727",
  "fulltext_url": null,
  "id": "45fr9zb7nmk1c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34727",
  "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.GN"
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      "arxiv",
      "math.MG"
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    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
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  "openalex": "W7224018007",
  "pdf_url": "https://arxiv.org/pdf/2610.34727",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/45fr9zb7nmk1c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.34727",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34727"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GN",
      "subfield": "geometry-topology"
    }
  ],
  "title": "An isometric embedding of the space of non-increasing sequences with non-negative terms into the Gromov-Hausdorff space",
  "title_text": "An isometric embedding of the space of non-increasing sequences with non-negative terms into the Gromov-Hausdorff space",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/45fr9zb7nmk1c",
  "venue": "arXiv",
  "versions": []
}