{
  "abstract": "This paper contains a detailed proof of a 1941 conjecture of S.S. Cairns concerning the space of geodesic triangulations of the 2-sphere. The methods are neither combinatorical nor Riemannian but belong to differential topology.",
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  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10586",
  "author_total": 1,
  "authors": [
    {
      "name": "Jean Cerf"
    }
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  "bibtex": "https://research.draconitic.com/paper/4jzyjzybqg1pj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10586",
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  "pdf_url": "https://arxiv.org/pdf/2609.10586",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-06",
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  "ris": "https://research.draconitic.com/paper/4jzyjzybqg1pj.ris",
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      "first_seen": "2026-10-30T12:20:30Z",
      "native_id": "2609.10586",
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      "url": "https://arxiv.org/abs/2609.10586"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Geometric and Algebraic Topology",
      "subfield": "geometry-topology"
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  ],
  "title": "A proof of Cairns' conjecture about geodesic triangulations of the 2-sphere",
  "title_text": "A proof of Cairns' conjecture about geodesic triangulations of the 2-sphere",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:30Z",
  "url": "https://research.draconitic.com/paper/4jzyjzybqg1pj",
  "venue": "arXiv",
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}