{
  "abstract": "We prove a prescribed projection theorem for any class of non-linear projections defined on open subsets of the plane which satisfies some mild geometric conditions. This generalizes Davies's classic result on prescribed projections for orthogonal projections, as well as a recent result of authors, Chang, McDonald, and Taylor, on a specific class of non-linear projection maps. We also give several geometric applications, including a proof that certain classes of plane curves can be used to cover arbitrary measurable sets with measure zero error.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.31602",
  "author_total": 5,
  "authors": [
    {
      "name": "Alan Chang"
    },
    {
      "name": "Robert Fraser"
    },
    {
      "name": "Alex McDonald"
    },
    {
      "name": "Mark Meyer"
    },
    {
      "name": "Krystal Taylor"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0w1zcmvc9j0m4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.31602",
  "fulltext_url": null,
  "id": "0w1zcmvc9j0m4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.31602",
  "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.CA"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
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  ],
  "openalex": "W7214681111",
  "pdf_url": "https://arxiv.org/pdf/2609.31602",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0w1zcmvc9j0m4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:57Z",
      "native_id": "2609.31602",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.31602"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Prescribed projections for a general class of maps and efficient covering by variable plane curves",
  "title_text": "Prescribed projections for a general class of maps and efficient covering by variable plane curves",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/0w1zcmvc9j0m4",
  "venue": "arXiv",
  "versions": []
}