{
  "abstract": "Let $S\\subseteq \\mathbb R^+$ be a subset of positive reals. We say that a metric space is an $S$-metric space if the range of the metric is a subset of $S\\cup \\{0\\}$. In 2007, Delhommé, Laflamme, Pouzet, and Sauer characterized those sets $S$ for which the class of all finite $S$-metric spaces has the amalgamation property. Given an amalgamation class, a natural question is what its Ramsey expansion is. Ramsey expansions are known for classes of $S$-metric spaces for which $S\\cup\\{0\\}$ carries a natural distance monoid structure, for example for $S=\\mathbb Q^+$ or when $S$ is topologically closed. In this paper, we extend this result to all amalgamation classes of finite $S$-metric spaces, thereby completing the Ramsey-theoretic classification of amalgamation classes of finite $S$-metric spaces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26167",
  "author_total": 4,
  "authors": [
    {
      "name": "Jan Hubička"
    },
    {
      "name": "Matěj Konečný"
    },
    {
      "name": "Jaroslav Nešetřil"
    },
    {
      "name": "Norbert Sauer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dzyzkeymj4zk1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26167",
  "fulltext_url": null,
  "id": "dzyzkeymj4zk1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26167",
  "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",
      "cs.DM"
    ],
    [
      "arxiv",
      "math.CO"
    ],
    [
      "arxiv",
      "math.LO"
    ],
    [
      "openalex",
      "2608|Advanced Topology and Set Theory"
    ]
  ],
  "openalex": "W7223062155",
  "pdf_url": "https://arxiv.org/pdf/2610.26167",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dzyzkeymj4zk1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.26167",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26167"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    }
  ],
  "title": "Ramsey expansions of $S$-metric spaces",
  "title_text": "Ramsey expansions of S-metric spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/dzyzkeymj4zk1",
  "venue": "arXiv",
  "versions": []
}