{
  "abstract": "We study which structural results about Aronszajn trees require the Proper Forcing Axiom and which require only MA(aleph1). In particular, we show that MA(aleph1) is consistent with the existence of 2^aleph1 pairwise non-club-isomorphic coherent A-trees.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.05574",
  "author_total": 2,
  "authors": [
    {
      "name": "Justin Tatch Moore"
    },
    {
      "name": "Stevo Todorcevic"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bxc8xv7vk31k0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.05574",
  "fulltext_url": null,
  "id": "bxc8xv7vk31k0",
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  "landing_url": "https://arxiv.org/abs/2610.05574",
  "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.LO"
    ],
    [
      "openalex",
      "2608|Advanced Topology and Set Theory"
    ]
  ],
  "openalex": "W7220709394",
  "pdf_url": "https://arxiv.org/pdf/2610.05574",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bxc8xv7vk31k0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.05574",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.05574"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    }
  ],
  "title": "Forcing axioms and the structure theory of Aronszajn trees",
  "title_text": "Forcing axioms and the structure theory of Aronszajn trees",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/bxc8xv7vk31k0",
  "venue": "arXiv",
  "versions": []
}