{
  "abstract": "We establish a general decomposition for regular closed semilinear sets, derived from a detailed study of their topological boundary. As an application, we characterize stable semilinear sets in ordered vector spaces over an ordered field, extending previous results of Hoffmann, Tran, and Ye.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26335",
  "author_total": 1,
  "authors": [
    {
      "name": "Marcos Girón"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/crbgb7shwdpg9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26335",
  "fulltext_url": null,
  "id": "crbgb7shwdpg9",
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  "landing_url": "https://arxiv.org/abs/2610.26335",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.LO"
    ],
    [
      "openalex",
      "2610|Advanced Banach Space Theory"
    ]
  ],
  "openalex": "W7223001845",
  "pdf_url": "https://arxiv.org/pdf/2610.26335",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/crbgb7shwdpg9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2610.26335",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26335"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    }
  ],
  "title": "On stable semilinear sets in ordered vector spaces",
  "title_text": "On stable semilinear sets in ordered vector spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/crbgb7shwdpg9",
  "venue": "arXiv",
  "versions": []
}