{
  "abstract": "We study the relation between the existence of escaping (or hyperimmune) functions and weak 1-genericity using computability over ideals. We prove in particular the existence of an $\\mathcal{I}$-escaping function which does not $\\mathcal{I}$-compute any weakly $\\mathcal{I}$-generic set whenever $\\mathcal{I}$ is a countable Turing ideal closed under the existence of diagonally non-computable functions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06439",
  "author_total": 4,
  "authors": [
    {
      "name": "Laurent Bienvenu"
    },
    {
      "name": "Noam Greenberg"
    },
    {
      "name": "Ludovic Patey"
    },
    {
      "name": "Dan Turetsky"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4vtjrby888w2f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06439",
  "fulltext_url": null,
  "id": "4vtjrby888w2f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06439",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.LO"
    ],
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-lo"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06439",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4vtjrby888w2f.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.06439",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06439"
    },
    {
      "first_seen": "2026-11-06T12:20:44Z",
      "native_id": "hal-05853044",
      "source": "hal",
      "url": "https://hal.science/hal-05853044v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    }
  ],
  "title": "Escaping and generics over ideals",
  "title_text": "Escaping and generics over ideals",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/4vtjrby888w2f",
  "venue": "arXiv",
  "versions": []
}