{
  "abstract": "We adapt the properties of Kim-independence in NSOP1 theories with existence proven in [5],[4] and [2] by Ramsey, Kaplan, Chernikov, Dobrowolski and Kim to hyperimaginaries by adding the assumption of existence for hyperimaginaries. We show that Kim-independence over hyperimaginaries satisfies a version of Kim’s lemma, symmetry, the independence theorem, transitivity and witnessing. As applications we adapt Kim’s results around colinearity and weak canonical bases from [8] to hyperimaginaries and give some new results about Lascar strong types and Kim-forking using boundedly closed hyperimaginaries.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2210.14203",
  "author_total": 1,
  "authors": [
    {
      "name": "Yvon Bossut"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c2fee59g6kca5.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "c2fee59g6kca5",
  "issns": [],
  "landing_url": "https://hal.science/hal-03823276v4",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-lo"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-03823276/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c2fee59g6kca5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:35Z",
      "native_id": "hal-03823276",
      "source": "hal",
      "url": "https://hal.science/hal-03823276v4"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-lo",
      "subfield": "logic-foundations"
    }
  ],
  "title": "Kim-forking for hyperimaginaries in nsop1 theories",
  "title_text": "Kim-forking for hyperimaginaries in nsop1 theories",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:35Z",
  "url": "https://research.draconitic.com/paper/c2fee59g6kca5",
  "venue": "HAL",
  "versions": []
}